Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 12 - Sequences; Induction; the Binomial Theorem - 12.2 Arithmetic Sequences - 12.2 Assess Your Understanding - Page 814: 44

Answer

$900$

Work Step by Step

We have to determine the sum: $S=1+3+5+.....+59$ As $3-1=5-3=...=2$, the sequence is arithmetic. Determine its first term and the common difference: $a_1=1$ $d=2$ The terms can be written as: $1=2\cdot 1-1$ $3=2\cdot 2-1$ $5=2\cdot 3-1$ .............................. $59=2\cdot 30-1$ Therefore, the given sum contains $30$ terms, so we have to determine the sum of the first $30$ terms. We use the formula: $S_n=\dfrac{n(a_1+a_n)}{2}$ $1+3+5+...+59=\dfrac{30(1+59)}{2}$ $=\dfrac{30\cdot 60}{2}$ $=900$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.