Is 0.101001000100001000001… a repeating decimal? Is it rational or irrational? Explain (hint if the decimal were to be repeating think about how many digits the repeating block would be)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 52E
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Is 0.101001000100001000001… a repeating decimal? Is it rational or irrational? Explain (hint if the decimal were to be repeating think about how many digits the repeating block would be)
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