# Chapter 8 - Sequences and Infinite Series - 8.1 An Overview - 8.1 Exercises: 56

a) $\{9,8.1,7.29,6.561\}$ b) $h_n = 0.9^n(10)$

#### Work Step by Step

a) $h_n = rh_{n-1}$ $h_1 = 0.9h_0 = 9$ $h_2 = 0.9h_1 = 8.1$ $h_3 = 0.9h_2 = 7.29$ $h_4 = 0.9h_3 = 6.561$ b) We have to multiply the initial value $h_0$ by $r$, $n$ number of times. $h_n = r^nh_{0} = 0.9^n(10)$

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