Answer
$973$
Work Step by Step
$$\sum_{i=1}^6 (i^2+2i^3)=$$
$$=\sum_{i=1}^6 i^2 +\sum_{i=1}^6 2i^3=$$
$$=\sum_{i=1}^6 i^2 +2\sum_{i=1}^6 i^3=$$
$$=\frac{6(6+1)(2\cdot 6+1)}{6}+2\cdot \frac{6^2(6+1)^2}{4}=$$
$$=91+882=973$$
College Algebra (11th Edition)
by Lial, Margaret L.; Hornsby John; Schneider, David I.; Daniels, Callie
Published by
Pearson
ISBN 10:
0321671791
ISBN 13:
978-0-32167-179-0
Chapter 7 - Section 7.1 - Sequences and Series - 7.1 Exercises - Page 636: 76
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