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Part 1 Let {an} be a sequence such that lim la=0. Explain how to find lim a, two ways - using the definition of absolute value and the Squeeze Theorem. 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.

Part 1 Let {an} be a sequence such that lim la=0. Explain how to find lim a, two ways - using the definition of absolute value and the Squeeze Theorem. 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.

Algebra for College Students
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter14: Sequences And Mathematical Induction
Section14.1: Arithmetic Sequences
Problem 79PS
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Part 1 Let {an} be a sequence such that lim la=0. Explain how to find lim a, two ways - using the definition of absolute value and the Squeeze Theorem. 72-00 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 93, 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.
Transcribed Image Text:Part 1 Let {an} be a sequence such that lim la=0. Explain how to find lim a, two ways - using the definition of absolute value and the Squeeze Theorem. 72-00 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 93, 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.
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