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46

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Precalculus Enhanced with Graphing Utilities

Found in: Page 816

Book edition 6th

Author(s) Sullivan

Pages 1200 pages

ISBN 9780321795465

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Short Answer

Find each sum
$7 + 1 - 5 - 11 - . . . . . - 299$

The solution is $S_{52} = - 7592$

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1: Given information

$7 + 1 - 5 - 11 - . . . . . - 299$

Step 2: Calculation

We have, $7 + 1 - 5 - 11 - . . . . . - 299$

So, $a_{1} = 7, d = - 6, a_{n} = - 299$

Now use formula

$a_{n} = a_{1} + (n - 1) d \Rightarrow - 299 = 7 + (n - 1) (- 6) \Rightarrow - 299 = 7 - 6 n + 6 \Rightarrow - 6 n = - 312 \Rightarrow n = 52$

To find sum $S_{52}$

role="math" localid="1649306434221" $S_{52} = \frac{52}{2} [7 + (- 299)] = - 7592$

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