Q. 12.6 Write the first five terms of th... [FREE SOLUTION]

91影视

Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 12: Q. 12.6 (page 1166)

Write the first five terms of the sequence whose general term is $a_{n} = {(鈭� 1)}^{n + 1} n^{3}$

Short Answer

Expert verified

The first five terms of the sequence with the general term as $a_{n} = {(鈭� 1)}^{n + 1} n^{3}$ are 1, -8, 27, -64 and 125

Step by step solution

Step 1. Given information

$\begin{array}{l} Theexpressionforthegeneraltermsisgivenas \\ a_{n} = {(鈭� 1)}^{n + 1} n^{3} \\ Wehavetofindthefirstfivetermsofthesequence. \end{array}$

Step 2. Calculating the terms

$\begin{array}{l} n & 1 & 2 & 3 & 4 & 5 \\ a_{n} & \begin{array}{l} a_{1} = {(鈭� 1)}^{1 + 1} 鈰� 1^{3} \\ = {(鈭� 1)}^{2} 鈰� 1 \\ = 1 鈰� 1 \\ = 1 \end{array} & \begin{array}{l} a_{2} = {(鈭� 1)}^{2 + 1} 鈰� 2^{3} \\ = {(鈭� 1)}^{3} 鈰� 8 \\ = 鈭� 1 鈰� 8 \\ = 鈭� 8 \end{array} & \begin{array}{l} a_{3} = {(鈭� 1)}^{3 + 1} 鈰� 3^{3} \\ = {(鈭� 1)}^{4} 鈰� 27 \\ = 1 鈰� 27 \\ = 27 \end{array} & \begin{array}{l} a_{4} = {(鈭� 1)}^{4 + 1} 鈰� 4^{3} \\ = {(鈭� 1)}^{5} 鈰� 64 \\ = 鈭� 1 鈰� 64 \\ = 鈭� 64 \end{array} & \begin{array}{l} a_{5} = {(鈭� 1)}^{5 + 1} 鈰� 5^{3} \\ = {(鈭� 1)}^{6} 鈰� 125 \\ = 1 鈰� 125 \\ = 125 \end{array} \end{array}$

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91影视

Write the first five terms of the sequence whose general term is $a_{n} = {(鈭� 1)}^{n + 1} n^{3}$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Calculating the terms

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91影视

Write the first five terms of the sequence whose general term isan=鈭�1n+1n3

Short Answer

Step by step solution

Step 1. Given information

Step 2. Calculating the terms

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Most popular questions from this chapter

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Study anywhere. Anytime. Across all devices.

Write the first five terms of the sequence whose general term is $a_{n} = {(鈭� 1)}^{n + 1} n^{3}$