Discrete Mathematics and Its Applications, Seventh Edition

Published by McGraw-Hill Education
ISBN 10: 0073383090
ISBN 13: 978-0-07338-309-5

Chapter 2 - Section 2.4 - Sequences and Summations - Exercises - Page 167: 1

Answer

a)3 b)-1 c)787 d)2639

Work Step by Step

a)put n=0 in aₙ=2·(−3)ⁿ+5ⁿ aₒ=2·(-3)0+5°=2·1+1=3 b) put n=1 in aₙ=2·(−3)ⁿ+5ⁿ a₁=2·(-3)¹+5¹=2·(-3)+5=-1 c)put n=4 in aₙ=2·(−3)ⁿ+5ⁿ a₄ = 2 · (-3)⁴ + 5⁴ = 2 · 81+625 = 787 d) put n=5 in aₙ=2·(−3)ⁿ+5ⁿ a₅ = 2 · (-3)⁵ + 5⁵ = 2 · (-243) + 3125 = 2639
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