mal textB I UAArial11+1.34.Lesson 9: What's the Equation?Cool Down: Ow, My JawHere are two definitions of the same sequence.Definition One: ƒ(1) = 64 and f(n) = f(n- 1) for n > 2Definition Two: f(n) = 64 · (-)" for n > 1.%3D1. List the first 4 terms of this sequence.

Name: mal textB I UAArial11+1.34.Lesson 9: What's the Equation?Cool Down: O
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Description: mal textB I UAArial11+1.34.Lesson 9: What's the Equation?Cool Down: Ow, My JawHere are two definitions of the same sequence.Definition One: ƒ(1) = 64 and f(n) = f(n- 1) for n > 2Definition Two: f(n) = 64 · (-)" for n > 1.%3D1. List the first 4 terms

Given: Definition (1) : f(1) =64 and f(n) = 12·f(n-1) for n≥2 Definition (2) : f(n) = 64·12n-1 for n≥1 To find: First four terms of the sequence.By using the definition (2) to find the first four terms of the sequence. f(n) = 64·12n-1 Put n = 1 ⇒ f(1) = 64121-1= 64120= 64·1= 64f(1) = 64 Put n = 2 ⇒ f(2) = 64 · 122-1= 64 121= 64×12 = 32f(2) = 32Put n = 3 f(3) = 64 · 123-1= 64 · 122= 64 ·1222= 64 · 14 = 16f(3) = 16 Put n = 4 f(4) = 64 · 124-1= 64 · 123= 64 ·1323 = 64 · 18 = 8f(4) = 8 Therefore the first four terms of this sequence are, f(1) = 64, f(2) = 32, f(3) = 16, f(4) = 8.