Chapter 10, Problem 10.1P

Question

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Answer 1

Question

Chapter 10, Problem 10.1P

Expert Solution & Answer

To determine

To write:

A function that will receive a value for r and calculate and return the sum of the geometric series and if a second argument is passed to the function, then the function generates a random integer for n.

Answer to Problem 10.1P

Solution:

The function file is,

%MATLAB code to create a function that will receive a value for r and calculate and return the sum of the geometric series and if a second argument is passed to the function, then the function generates a random integer for n.

%function file

function sum = geomser(r, varargin)

%define the function geomser.

arg = nargin;

if arg == 2

%if arguments are two then it will generate proper sum.

n = varargin{1};

%if only second argument is present then it will take a random integer

%for n.

else

n = randi([5, 30]);

end

s = 1;

for j = 1:n

s = s + r.^j;

end

sum = s;

end

%end of function file

%The function file should be placed in the same folder.

Explanation of Solution

The formula for to calculate the sum of a geometric series is given as,

S=1+r+r2+r3+r4+...+rn

Substitute 3 for r and 5 for n in the above formula.

S=1+(3)+(3)2+(3)3+(3)4+(3)5S=364

MATLAB Code:

%MATLAB code to create a function that will receive a value for r and calculate and return the sum of the geometric series and if a second argument is passed to the function, then the function generates a random integer for n.

%function file

function sum = geomser(r, varargin)

%define the function geomser.

arg = nargin;

if arg == 2

%if arguments are two then it will generate proper sum.

n = varargin{1};

%if only second argument is present then it will take a random integer

%for n.

else

n = randi([5, 30]);

end

s = 1;

for j = 1:n

s = s + r.^j;

end

sum = s;

end

%end of function file

%The function file should be placed in the same folder.

Save the MATLAB function with name, geomser.m in the current folder. Execute the function file by typing the function name at the command window to generate output.

Result:

The result is,

MATLAB: A Practical Introduction to Programming and Problem Solving, Chapter 10, Problem 10.1P

Therefore, the result is stated above.

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Answer 2

Question

Chapter 10, Problem 10.1P

Expert Solution & Answer

To determine

To write:

A function that will receive a value for r and calculate and return the sum of the geometric series and if a second argument is passed to the function, then the function generates a random integer for n.

Answer to Problem 10.1P

Solution:

The function file is,

%MATLAB code to create a function that will receive a value for r and calculate and return the sum of the geometric series and if a second argument is passed to the function, then the function generates a random integer for n.

%function file

function sum = geomser(r, varargin)

%define the function geomser.

arg = nargin;

if arg == 2

%if arguments are two then it will generate proper sum.

n = varargin{1};

%if only second argument is present then it will take a random integer

%for n.

else

n = randi([5, 30]);

end

s = 1;

for j = 1:n

s = s + r.^j;

end

sum = s;

end

%end of function file

%The function file should be placed in the same folder.

Explanation of Solution

The formula for to calculate the sum of a geometric series is given as,

S=1+r+r2+r3+r4+...+rn

Substitute 3 for r and 5 for n in the above formula.

S=1+(3)+(3)2+(3)3+(3)4+(3)5S=364

MATLAB Code:

%MATLAB code to create a function that will receive a value for r and calculate and return the sum of the geometric series and if a second argument is passed to the function, then the function generates a random integer for n.

%function file

function sum = geomser(r, varargin)

%define the function geomser.

arg = nargin;

if arg == 2

%if arguments are two then it will generate proper sum.

n = varargin{1};

%if only second argument is present then it will take a random integer

%for n.

else

n = randi([5, 30]);

end

s = 1;

for j = 1:n

s = s + r.^j;

end

sum = s;

end

%end of function file

%The function file should be placed in the same folder.

Save the MATLAB function with name, geomser.m in the current folder. Execute the function file by typing the function name at the command window to generate output.

Result:

The result is,

MATLAB: A Practical Introduction to Programming and Problem Solving, Chapter 10, Problem 10.1P

Therefore, the result is stated above.

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Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 3

Question

Chapter 10, Problem 10.1P

Expert Solution & Answer

To determine

To write:

A function that will receive a value for r and calculate and return the sum of the geometric series and if a second argument is passed to the function, then the function generates a random integer for n.

Answer to Problem 10.1P

Solution:

The function file is,

%MATLAB code to create a function that will receive a value for r and calculate and return the sum of the geometric series and if a second argument is passed to the function, then the function generates a random integer for n.

%function file

function sum = geomser(r, varargin)

%define the function geomser.

arg = nargin;

if arg == 2

%if arguments are two then it will generate proper sum.

n = varargin{1};

%if only second argument is present then it will take a random integer

%for n.

else

n = randi([5, 30]);

end

s = 1;

for j = 1:n

s = s + r.^j;

end

sum = s;

end

%end of function file

%The function file should be placed in the same folder.

Explanation of Solution

The formula for to calculate the sum of a geometric series is given as,

S=1+r+r2+r3+r4+...+rn

Substitute 3 for r and 5 for n in the above formula.

S=1+(3)+(3)2+(3)3+(3)4+(3)5S=364

MATLAB Code:

%MATLAB code to create a function that will receive a value for r and calculate and return the sum of the geometric series and if a second argument is passed to the function, then the function generates a random integer for n.

%function file

function sum = geomser(r, varargin)

%define the function geomser.

arg = nargin;

if arg == 2

%if arguments are two then it will generate proper sum.

n = varargin{1};

%if only second argument is present then it will take a random integer

%for n.

else

n = randi([5, 30]);

end

s = 1;

for j = 1:n

s = s + r.^j;

end

sum = s;

end

%end of function file

%The function file should be placed in the same folder.

Save the MATLAB function with name, geomser.m in the current folder. Execute the function file by typing the function name at the command window to generate output.

Result:

The result is,

MATLAB: A Practical Introduction to Programming and Problem Solving, Chapter 10, Problem 10.1P

Therefore, the result is stated above.

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Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 4

Question

Chapter 10, Problem 10.1P

Expert Solution & Answer

To determine

To write:

A function that will receive a value for r and calculate and return the sum of the geometric series and if a second argument is passed to the function, then the function generates a random integer for n.

Answer to Problem 10.1P

Solution:

The function file is,

%MATLAB code to create a function that will receive a value for r and calculate and return the sum of the geometric series and if a second argument is passed to the function, then the function generates a random integer for n.

%function file

function sum = geomser(r, varargin)

%define the function geomser.

arg = nargin;

if arg == 2

%if arguments are two then it will generate proper sum.

n = varargin{1};

%if only second argument is present then it will take a random integer

%for n.

else

n = randi([5, 30]);

end

s = 1;

for j = 1:n

s = s + r.^j;

end

sum = s;

end

%end of function file

%The function file should be placed in the same folder.

Explanation of Solution

The formula for to calculate the sum of a geometric series is given as,

S=1+r+r2+r3+r4+...+rn

Substitute 3 for r and 5 for n in the above formula.

S=1+(3)+(3)2+(3)3+(3)4+(3)5S=364

MATLAB Code:

%MATLAB code to create a function that will receive a value for r and calculate and return the sum of the geometric series and if a second argument is passed to the function, then the function generates a random integer for n.

%function file

function sum = geomser(r, varargin)

%define the function geomser.

arg = nargin;

if arg == 2

%if arguments are two then it will generate proper sum.

n = varargin{1};

%if only second argument is present then it will take a random integer

%for n.

else

n = randi([5, 30]);

end

s = 1;

for j = 1:n

s = s + r.^j;

end

sum = s;

end

%end of function file

%The function file should be placed in the same folder.

Save the MATLAB function with name, geomser.m in the current folder. Execute the function file by typing the function name at the command window to generate output.

Result:

The result is,

MATLAB: A Practical Introduction to Programming and Problem Solving, Chapter 10, Problem 10.1P

Therefore, the result is stated above.

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Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 5

Expert Solution & Answer

To determine

To write:

A function that will receive a value for r and calculate and return the sum of the geometric series and if a second argument is passed to the function, then the function generates a random integer for n.

Answer to Problem 10.1P

Solution:

The function file is,

%MATLAB code to create a function that will receive a value for r and calculate and return the sum of the geometric series and if a second argument is passed to the function, then the function generates a random integer for n.

%function file

function sum = geomser(r, varargin)

%define the function geomser.

arg = nargin;

if arg == 2

%if arguments are two then it will generate proper sum.

n = varargin{1};

%if only second argument is present then it will take a random integer

%for n.

else

n = randi([5, 30]);

end

s = 1;

for j = 1:n

s = s + r.^j;

end

sum = s;

end

%end of function file

%The function file should be placed in the same folder.

Explanation of Solution

The formula for to calculate the sum of a geometric series is given as,

S=1+r+r2+r3+r4+...+rn

Substitute 3 for r and 5 for n in the above formula.

S=1+(3)+(3)2+(3)3+(3)4+(3)5S=364

MATLAB Code:

%MATLAB code to create a function that will receive a value for r and calculate and return the sum of the geometric series and if a second argument is passed to the function, then the function generates a random integer for n.

%function file

function sum = geomser(r, varargin)

%define the function geomser.

arg = nargin;

if arg == 2

%if arguments are two then it will generate proper sum.

n = varargin{1};

%if only second argument is present then it will take a random integer

%for n.

else

n = randi([5, 30]);

end

s = 1;

for j = 1:n

s = s + r.^j;

end

sum = s;

end

%end of function file

%The function file should be placed in the same folder.

Save the MATLAB function with name, geomser.m in the current folder. Execute the function file by typing the function name at the command window to generate output.

Result:

The result is,

MATLAB: A Practical Introduction to Programming and Problem Solving, Chapter 10, Problem 10.1P

Therefore, the result is stated above.

Answer 6

Expert Solution & Answer

To determine

To write:

A function that will receive a value for r and calculate and return the sum of the geometric series and if a second argument is passed to the function, then the function generates a random integer for n.

Answer to Problem 10.1P

Solution:

The function file is,

%MATLAB code to create a function that will receive a value for r and calculate and return the sum of the geometric series and if a second argument is passed to the function, then the function generates a random integer for n.

%function file

function sum = geomser(r, varargin)

%define the function geomser.

arg = nargin;

if arg == 2

%if arguments are two then it will generate proper sum.

n = varargin{1};

%if only second argument is present then it will take a random integer

%for n.

else

n = randi([5, 30]);

end

s = 1;

for j = 1:n

s = s + r.^j;

end

sum = s;

end

%end of function file

%The function file should be placed in the same folder.

Explanation of Solution

The formula for to calculate the sum of a geometric series is given as,

S=1+r+r2+r3+r4+...+rn

Substitute 3 for r and 5 for n in the above formula.

S=1+(3)+(3)2+(3)3+(3)4+(3)5S=364

MATLAB Code:

%MATLAB code to create a function that will receive a value for r and calculate and return the sum of the geometric series and if a second argument is passed to the function, then the function generates a random integer for n.

%function file

function sum = geomser(r, varargin)

%define the function geomser.

arg = nargin;

if arg == 2

%if arguments are two then it will generate proper sum.

n = varargin{1};

%if only second argument is present then it will take a random integer

%for n.

else

n = randi([5, 30]);

end

s = 1;

for j = 1:n

s = s + r.^j;

end

sum = s;

end

%end of function file

%The function file should be placed in the same folder.

Save the MATLAB function with name, geomser.m in the current folder. Execute the function file by typing the function name at the command window to generate output.

Result:

The result is,

MATLAB: A Practical Introduction to Programming and Problem Solving, Chapter 10, Problem 10.1P

Therefore, the result is stated above.

Answer 7

Expert Solution & Answer

Answer 8

Expert Solution & Answer

Answer 9

To determine

To write:

A function that will receive a value for r and calculate and return the sum of the geometric series and if a second argument is passed to the function, then the function generates a random integer for n.

Answer 10

Answer to Problem 10.1P

Solution:

The function file is,

%MATLAB code to create a function that will receive a value for r and calculate and return the sum of the geometric series and if a second argument is passed to the function, then the function generates a random integer for n.

%function file

function sum = geomser(r, varargin)

%define the function geomser.

arg = nargin;

if arg == 2

%if arguments are two then it will generate proper sum.

n = varargin{1};

%if only second argument is present then it will take a random integer

%for n.

else

n = randi([5, 30]);

end

s = 1;

for j = 1:n

s = s + r.^j;

end

sum = s;

end

%end of function file

%The function file should be placed in the same folder.

Answer 11

Explanation of Solution

The formula for to calculate the sum of a geometric series is given as,

S=1+r+r2+r3+r4+...+rn

Substitute 3 for r and 5 for n in the above formula.

S=1+(3)+(3)2+(3)3+(3)4+(3)5S=364

MATLAB Code:

%MATLAB code to create a function that will receive a value for r and calculate and return the sum of the geometric series and if a second argument is passed to the function, then the function generates a random integer for n.

%function file

function sum = geomser(r, varargin)

%define the function geomser.

arg = nargin;

if arg == 2

%if arguments are two then it will generate proper sum.

n = varargin{1};

%if only second argument is present then it will take a random integer

%for n.

else

n = randi([5, 30]);

end

s = 1;

for j = 1:n

s = s + r.^j;

end

sum = s;

end

%end of function file

%The function file should be placed in the same folder.

Save the MATLAB function with name, geomser.m in the current folder. Execute the function file by typing the function name at the command window to generate output.

Result:

The result is,

MATLAB: A Practical Introduction to Programming and Problem Solving, Chapter 10, Problem 10.1P

Therefore, the result is stated above.

Answer 12

Chapter 10, Problem 10.1P Chapter 10, Problem 10.2P Chapter 10, Problem 10.3P Chapter 10, Problem 10.4P Chapter 10, Problem 1E Chapter 10, Problem 2E Chapter 10, Problem 3E Chapter 10, Problem 4E Chapter 10, Problem 6E Chapter 10, Problem 7E

Chapter 10, Problem 10.1P

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