2. Geometric series a. Consider the function defined by the geometric series f (x) = other words, for which values of a do you get a value out of the series.) b. Using the function defined in part (a.) solve f (x) 2 for x. on. What is the domain for this function? (I

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 82E
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2. Geometric series.
a. Consider the function defined by the geometric series f(x) = ox". What is the domain for this function? (In
other words, for which values of a do you get a value out of the series.)
b. Using the function defined in part (a.) solve f (x) = 2 for x.
c. Express the repeating decimal number 0.467467467... as a ratio of integers by first writing the number as a
geometric sum.
Transcribed Image Text:2. Geometric series. a. Consider the function defined by the geometric series f(x) = ox". What is the domain for this function? (In other words, for which values of a do you get a value out of the series.) b. Using the function defined in part (a.) solve f (x) = 2 for x. c. Express the repeating decimal number 0.467467467... as a ratio of integers by first writing the number as a geometric sum.
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