Answer
$-1850$
Work Step by Step
1. We can identify the sequence as arithmetical with $a_1=-2, d=-6$
2. We have $\sum_{i=1}^{25}(4-6i)=\frac{25}{2}(-2+4-6(25))=-1850$
Precalculus (6th Edition)
by Lial, Margaret L.; Hornsby, John; Schneider, David I.; Daniels, Callie
Published by
Pearson
ISBN 10:
013421742X
ISBN 13:
978-0-13421-742-0
Chapter 11 - Further Topics in Algebra - Summary Exercises on Sequences and Series - Exercises - Page 1038: 19
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