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 11.2 - Arithmetic Sequences - Exercise Set - Page 840: 56



Work Step by Step

Need to apply the summation formula for the arithmetic sequence, such as: $ \sum_{i=1}^{n}A=\dfrac{n}{2}(A_1+A_2)$ We have $ \sum_{i=1}^{15}b_i-\sum_{i=1}^{15}a_i=\dfrac{15}{2}[b_1+b_1(15-1)d_2)-(a_1+a_1+(15-1)d_1)$ $=7[3+73-1-55]$ $\sum_{i=1}^{15}b_i-\sum_{i=1}^{15}a_i=975$
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