Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 11 - Section 11.1 - Sequences and Summation Notation - Exercise Set - Page 831: 79

Answer

True

Work Step by Step

Need to prove: $\sum_{i=1}^{4}3i+\sum_{i=1}^{4}4i=\sum_{i=1}^{4}7i$ Now, $\sum_{i=1}^{4}3i+\sum_{i=1}^{4}4i=3(1)+3(2)+3(3)+3(4)+4(1)+4(2)+4(3)+4(4)$ or, $=3(1)+4(1)+3(2)+4(2)+3(3)+4(3)+3(4)+4(4)$ This can be re-written as: or, $=\sum_{i=1}^{4}7i$ Hence, the given statement is true.
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