In Problems 1 − 4 , list the five terms of each sequence. { a n } = { ( − 1 ) n ( n + 3 n + 2 ) }

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Answer 1

Textbook Question

Chapter 12, Problem 1RE

In Problems 1 − 4 , list the five terms of each sequence.

{ a n } = { ( − 1 ) n ( n + 3 n + 2 ) }

Expert Solution & Answer

To determine

The first five terms of the sequence, whose nth term is {an}={(−1)n(n+3n+2)}

Answer to Problem 1RE

Solution:

The first five terms of the sequence are −43, 54, −65, 76,−87 respectively.

Explanation of Solution

Given information:

The sequence has nth term {an}={(−1)n(n+3n+2)}

Explanation:

To find the first term of the sequence, Plug n=1 in {an}={(−1)n(n+3n+2)}

⇒a1=(−1)1(1+31+2)

⇒a1=−1⋅(43)

⇒a1=−43

To find the second term, plug n=2 in {an}={(−1)n(n+3n+2)}

⇒a2=(−1)2(2+32+2)

⇒a2=54

To find the third term, plug n=3 in {an}={(−1)n(n+3n+2)}

⇒a3=(−1)3(3+33+2)

⇒a3=(−1)(65)

⇒a3=−65

To find the fourth term, plug n=4 in {an}={(−1)n(n+3n+2)}

⇒a4=(−1)4(4+34+2)

⇒a4=76

To find the fifth term, plug n=5 in {an}={(−1)n(n+3n+2)}

⇒a5=(−1)5(5+35+2)

⇒a5=(−1)(87)

⇒a5=−87

Hence, the first five terms are −43, 54, −65, 76 and −87

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Answer 2

Textbook Question

Chapter 12, Problem 1RE

In Problems 1 − 4 , list the five terms of each sequence.

{ a n } = { ( − 1 ) n ( n + 3 n + 2 ) }

Expert Solution & Answer

To determine

The first five terms of the sequence, whose nth term is {an}={(−1)n(n+3n+2)}

Answer to Problem 1RE

Solution:

The first five terms of the sequence are −43, 54, −65, 76,−87 respectively.

Explanation of Solution

Given information:

The sequence has nth term {an}={(−1)n(n+3n+2)}

Explanation:

To find the first term of the sequence, Plug n=1 in {an}={(−1)n(n+3n+2)}

⇒a1=(−1)1(1+31+2)

⇒a1=−1⋅(43)

⇒a1=−43

To find the second term, plug n=2 in {an}={(−1)n(n+3n+2)}

⇒a2=(−1)2(2+32+2)

⇒a2=54

To find the third term, plug n=3 in {an}={(−1)n(n+3n+2)}

⇒a3=(−1)3(3+33+2)

⇒a3=(−1)(65)

⇒a3=−65

To find the fourth term, plug n=4 in {an}={(−1)n(n+3n+2)}

⇒a4=(−1)4(4+34+2)

⇒a4=76

To find the fifth term, plug n=5 in {an}={(−1)n(n+3n+2)}

⇒a5=(−1)5(5+35+2)

⇒a5=(−1)(87)

⇒a5=−87

Hence, the first five terms are −43, 54, −65, 76 and −87

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Answer 3

Textbook Question

Chapter 12, Problem 1RE

In Problems 1 − 4 , list the five terms of each sequence.

{ a n } = { ( − 1 ) n ( n + 3 n + 2 ) }

Expert Solution & Answer

To determine

The first five terms of the sequence, whose nth term is {an}={(−1)n(n+3n+2)}

Answer to Problem 1RE

Solution:

The first five terms of the sequence are −43, 54, −65, 76,−87 respectively.

Explanation of Solution

Given information:

The sequence has nth term {an}={(−1)n(n+3n+2)}

Explanation:

To find the first term of the sequence, Plug n=1 in {an}={(−1)n(n+3n+2)}

⇒a1=(−1)1(1+31+2)

⇒a1=−1⋅(43)

⇒a1=−43

To find the second term, plug n=2 in {an}={(−1)n(n+3n+2)}

⇒a2=(−1)2(2+32+2)

⇒a2=54

To find the third term, plug n=3 in {an}={(−1)n(n+3n+2)}

⇒a3=(−1)3(3+33+2)

⇒a3=(−1)(65)

⇒a3=−65

To find the fourth term, plug n=4 in {an}={(−1)n(n+3n+2)}

⇒a4=(−1)4(4+34+2)

⇒a4=76

To find the fifth term, plug n=5 in {an}={(−1)n(n+3n+2)}

⇒a5=(−1)5(5+35+2)

⇒a5=(−1)(87)

⇒a5=−87

Hence, the first five terms are −43, 54, −65, 76 and −87

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Answer 4

Textbook Question

Chapter 12, Problem 1RE

In Problems 1 − 4 , list the five terms of each sequence.

{ a n } = { ( − 1 ) n ( n + 3 n + 2 ) }

Expert Solution & Answer

To determine

The first five terms of the sequence, whose nth term is {an}={(−1)n(n+3n+2)}

Answer to Problem 1RE

Solution:

The first five terms of the sequence are −43, 54, −65, 76,−87 respectively.

Explanation of Solution

Given information:

The sequence has nth term {an}={(−1)n(n+3n+2)}

Explanation:

To find the first term of the sequence, Plug n=1 in {an}={(−1)n(n+3n+2)}

⇒a1=(−1)1(1+31+2)

⇒a1=−1⋅(43)

⇒a1=−43

To find the second term, plug n=2 in {an}={(−1)n(n+3n+2)}

⇒a2=(−1)2(2+32+2)

⇒a2=54

To find the third term, plug n=3 in {an}={(−1)n(n+3n+2)}

⇒a3=(−1)3(3+33+2)

⇒a3=(−1)(65)

⇒a3=−65

To find the fourth term, plug n=4 in {an}={(−1)n(n+3n+2)}

⇒a4=(−1)4(4+34+2)

⇒a4=76

To find the fifth term, plug n=5 in {an}={(−1)n(n+3n+2)}

⇒a5=(−1)5(5+35+2)

⇒a5=(−1)(87)

⇒a5=−87

Hence, the first five terms are −43, 54, −65, 76 and −87

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Answer 5

Textbook Question

Answer 6

Textbook Question

Answer 7

Expert Solution & Answer

To determine

The first five terms of the sequence, whose nth term is {an}={(−1)n(n+3n+2)}

Answer to Problem 1RE

Solution:

The first five terms of the sequence are −43, 54, −65, 76,−87 respectively.

Explanation of Solution

Given information:

The sequence has nth term {an}={(−1)n(n+3n+2)}

Explanation:

To find the first term of the sequence, Plug n=1 in {an}={(−1)n(n+3n+2)}

⇒a1=(−1)1(1+31+2)

⇒a1=−1⋅(43)

⇒a1=−43

To find the second term, plug n=2 in {an}={(−1)n(n+3n+2)}

⇒a2=(−1)2(2+32+2)

⇒a2=54

To find the third term, plug n=3 in {an}={(−1)n(n+3n+2)}

⇒a3=(−1)3(3+33+2)

⇒a3=(−1)(65)

⇒a3=−65

To find the fourth term, plug n=4 in {an}={(−1)n(n+3n+2)}

⇒a4=(−1)4(4+34+2)

⇒a4=76

To find the fifth term, plug n=5 in {an}={(−1)n(n+3n+2)}

⇒a5=(−1)5(5+35+2)

⇒a5=(−1)(87)

⇒a5=−87

Hence, the first five terms are −43, 54, −65, 76 and −87

Answer 8

Expert Solution & Answer

To determine

The first five terms of the sequence, whose nth term is {an}={(−1)n(n+3n+2)}

Answer to Problem 1RE

Solution:

The first five terms of the sequence are −43, 54, −65, 76,−87 respectively.

Explanation of Solution

Given information:

The sequence has nth term {an}={(−1)n(n+3n+2)}

Explanation:

To find the first term of the sequence, Plug n=1 in {an}={(−1)n(n+3n+2)}

⇒a1=(−1)1(1+31+2)

⇒a1=−1⋅(43)

⇒a1=−43

To find the second term, plug n=2 in {an}={(−1)n(n+3n+2)}

⇒a2=(−1)2(2+32+2)

⇒a2=54

To find the third term, plug n=3 in {an}={(−1)n(n+3n+2)}

⇒a3=(−1)3(3+33+2)

⇒a3=(−1)(65)

⇒a3=−65

To find the fourth term, plug n=4 in {an}={(−1)n(n+3n+2)}

⇒a4=(−1)4(4+34+2)

⇒a4=76

To find the fifth term, plug n=5 in {an}={(−1)n(n+3n+2)}

⇒a5=(−1)5(5+35+2)

⇒a5=(−1)(87)

⇒a5=−87

Hence, the first five terms are −43, 54, −65, 76 and −87

Answer 9

Expert Solution & Answer

Answer 10

Expert Solution & Answer

Answer 11

To determine

The first five terms of the sequence, whose nth term is {an}={(−1)n(n+3n+2)}

Answer 12

Answer to Problem 1RE

Solution:

The first five terms of the sequence are −43, 54, −65, 76,−87 respectively.

Answer 13

Explanation of Solution

Given information:

The sequence has nth term {an}={(−1)n(n+3n+2)}

Explanation:

To find the first term of the sequence, Plug n=1 in {an}={(−1)n(n+3n+2)}

⇒a1=(−1)1(1+31+2)

⇒a1=−1⋅(43)

⇒a1=−43

To find the second term, plug n=2 in {an}={(−1)n(n+3n+2)}

⇒a2=(−1)2(2+32+2)

⇒a2=54

To find the third term, plug n=3 in {an}={(−1)n(n+3n+2)}

⇒a3=(−1)3(3+33+2)

⇒a3=(−1)(65)

⇒a3=−65

To find the fourth term, plug n=4 in {an}={(−1)n(n+3n+2)}

⇒a4=(−1)4(4+34+2)

⇒a4=76

To find the fifth term, plug n=5 in {an}={(−1)n(n+3n+2)}

⇒a5=(−1)5(5+35+2)

⇒a5=(−1)(87)

⇒a5=−87

Hence, the first five terms are −43, 54, −65, 76 and −87

Answer 14

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In Problems 1 − 4 , list the five terms of each sequence. { a n } = { ( − 1 ) n ( n + 3 n + 2 ) }

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