Part 2 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 a₁ to create a2 = 0.qrstuvwx. Repeat this process to generate a3, 94, and a5. If this process is continued infinitely many times, then explain whether or not the sequence {an} converges, diverges, or it is impossible to determine.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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**Part 2**

Think of four random integers \( q, r, s, \) and \( t \) selected from 0 through 9. Let \( a_1 = 0.qrst \), 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 \( a_1 \) to create \( a_2 = 0.qrstuvwx \). Repeat this process to generate \( a_3, a_4, \) and \( a_5 \). If this process is continued infinitely many times, then explain whether or not the sequence \(\{a_n\}\) converges, diverges, or it is impossible to determine.
Transcribed Image Text:**Part 2** Think of four random integers \( q, r, s, \) and \( t \) selected from 0 through 9. Let \( a_1 = 0.qrst \), 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 \( a_1 \) to create \( a_2 = 0.qrstuvwx \). Repeat this process to generate \( a_3, a_4, \) and \( a_5 \). If this process is continued infinitely many times, then explain whether or not the sequence \(\{a_n\}\) converges, diverges, or it is impossible to determine.
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