Think of four random integers q, r, s, and t selected from 0 through 9. Let a1 = 0.qrst, where q, r, s, and t are your numbers. Think of four more random integers u, v, w, and x, and add them to the end of a, to create a2 = 0.grstuvwx. Repeat this process to generate a3, a4, and as. If this process is continued infinitely many times, then explain whether or not the sequence {a,} converges, diverges, or it is impossible to determine.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 42SE: In horse racing, a “trifecta” occurs when a bettor wins by selecting the first three finishers in...
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Think of four random integers q, r, s, and t selected from 0 through 9. Let a1 = 0.qrst, where q, r, s, and t are your numbers. Think
of four more random integers u, v, w, and x, and add them to the end of a¡ to create a2 = 0.qrstuvwx. Repeat this process to
generate a3 a4, and as. If this process is continued infınitely many times, then explain whether or not the sequence {a,}
converges, diverges, or it is impossible to determine.
Please type answer and show work if possible.
Transcribed Image Text:Think of four random integers q, r, s, and t selected from 0 through 9. Let a1 = 0.qrst, where q, r, s, and t are your numbers. Think of four more random integers u, v, w, and x, and add them to the end of a¡ to create a2 = 0.qrstuvwx. Repeat this process to generate a3 a4, and as. If this process is continued infınitely many times, then explain whether or not the sequence {a,} converges, diverges, or it is impossible to determine. Please type answer and show work if possible.
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