Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter 11 - Sequences; Induction; the Binomial Theorem - Chapter Review - Review Exercises - Page 859: 13

Answer

$3825$

Work Step by Step

We know that $\sum_{k=1}^{n} k =\dfrac{n(n+1)}{2}$ We plug in $30$ for $n$ in the given summation formula. Therefore, $\sum_{k=1}^{50} (3k) =(3) \times \dfrac{50(50+1)}{2}=3825$
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