Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 10 - Section 10.1 - Sequences and Summation Notation - Exercise Set - Page 1049: 70


a. $10661$ b. $10660$, underestimates by $1$ person.

Work Step by Step

a. Based on the given graph and numbers, we have $\sum_{i=1}^5 a_i=a_1+a_2+a_3+a_4+a_5=1534+1781+932+2999+3415=10661$ which is the sum of the number of Americans who gave up their U.S. citizenship during 2010 to 2014. b. Given $a_n=498n+638$ we have $a_1=498+638=1136, a_5=498(5)+638=3128$ Thus $\sum_{i=1}^5 a_i=\frac{5(1136+3128)}{2}=10660$. Compare with the number from part-(a). It underestimates the actual sum by $1$ person.
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