Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 10 - Section 10.2 - Arithmetic Sequences - Exercise Set - Page 1061: 78

Answer

Does not make sense.

Work Step by Step

The sum of an arithmetic sequence is given by: $S_n=\dfrac{n}{2}[a_1+a_n]$ and the nth term for an arithmetic sequence is given by $a_n=a_1+(n-1) d$ Here, $a_1 \to$ Initial Term and $d=$ Common difference. Given: $2,4,8, 16,32,.....$ $d=4-2=2 \\ 8-4 =4 \\16-8 =8$ We can see that the common difference is not the same for the given sequence. This is the reason we cannot apply the formula $S_n=\dfrac{n}{2}[a_1+a_n]$ to find the sum of the terms. Thus, the given statement does not make sense.
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