Book edition 7th Edition

Author(s) James Stewart, Lothar Redlin, Saleem Watson

Pages 948 pages

ISBN 9781337067508

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Short Answer

Partial Sums Find the first six partial sums $S_{1}, S_{2}, S_{3}, S_{4}, S_{5}, S_{6}$ of the sequence whose nth term is given.
$1, 3, 5, 7,$ ….

The partial sums are:

$\begin{array}{l} Firstpartialsum = S_{1} = 1. \\ Secondpartialsum = S_{2} = 4. \\ Thirdpartialsum = S_{3} = 9. \\ Fourthpartialsum = S_{4} = 16. \\ Fifthpartialsum = S_{5} = 25. \\ Sixth partialsum = S_{6} = 36. \end{array}$

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Given

The given sequence is 1, 3, 5, 7…

Step 2. To determine

We have to find the first six partial sums.

Step 3. Calculation

The given sequence is 1, 3, 5, 7…

We see that the terms are increasing by 2.

So, the first 6 terms of these sequence are 1, 3, 5, 7, 9, 11.

Hence,

$\begin{array}{l} Firstpartialsum = S_{1} = 1. \\ Secondpartialsum = S_{2} = 1 + 3 = 4. \\ Thirdpartialsum = S_{3} = 1 + 3 + 5 = 9. \\ Fourthpartialsum = S_{4} = 1 + 3 + 5 + 7 = 16. \\ Fifthpartialsum = S_{5} = 1 + 3 + 5 + 7 + 9 = 25. \\ Sixth partialsum = S_{6} = 1 + 3 + 5 + 7 + 9 + 11 = 36. \end{array}$

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Precalculus Mathematics for Calculus

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Short Answer

Partial Sums Find the first six partial sums $S_{1}, S_{2}, S_{3}, S_{4}, S_{5}, S_{6}$ of the sequence whose nth term is given.
$1, 3, 5, 7,$ ….

Step by Step Solution

Step 1. Given

Step 2. To determine

Step 3. Calculation

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Precalculus Mathematics for Calculus

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Short Answer

Partial Sums Find the first six partial sums S1, S2, S3, S4, S5, S6 of the sequence whose nth term is given. 1, 3, 5, 7, ….

Step by Step Solution

Step 1. Given

Step 2. To determine

Step 3. Calculation

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Partial Sums Find the first six partial sums $S_{1}, S_{2}, S_{3}, S_{4}, S_{5}, S_{6}$ of the sequence whose nth term is given.
$1, 3, 5, 7,$ ….