Let a(t), 2 < t< 8 be a positive function. Also, let the function 8(t) be defined as a'(t)/a(t) on the interval [2, 8]. Suppose that 8(t) = 4/(t – 1), 2 stS8. Find an expression for a(n + 1)/a(n),2

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.2: Exponential Functions
Problem 58E
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Let a(t), 2 < t<8 be a positive function. Also, let the function 8(t) be defined as
8(t) = a'(t)/a(t) on the interval [2, 8]. Suppose that 8(t) 4/(t- 1), 2 <t58. Find
an expression for a(n+ 1)/a(n), 2 <nS7. [Simplify your expression!
Transcribed Image Text:Let a(t), 2 < t<8 be a positive function. Also, let the function 8(t) be defined as 8(t) = a'(t)/a(t) on the interval [2, 8]. Suppose that 8(t) 4/(t- 1), 2 <t58. Find an expression for a(n+ 1)/a(n), 2 <nS7. [Simplify your expression!
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