QUESTION 3 Let a = 0 and a = 2+a for n=0, 1, 2, 3, ... 0 n+1 n ,a i. List out the first 7 terms aa6 of the sequence. ii. Are the a terms increasing or decreasing or neither? n iii. Assume that lim a exists. Using only the technique we learned in class, find its EXACT limit. M→ ∞ n

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.1: Infinite Sequences And Summation Notation
Problem 73E
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QUESTION 3
Let a = 0 and a
=
2+a for n=0, 1, 2, 3, ...
0
n+1
n
,a
i. List out the first 7 terms aa6 of the sequence.
ii. Are the a terms increasing or decreasing or neither?
n
iii. Assume that lim a exists. Using only the technique we learned in class, find its EXACT limit.
M→ ∞
n
Transcribed Image Text:QUESTION 3 Let a = 0 and a = 2+a for n=0, 1, 2, 3, ... 0 n+1 n ,a i. List out the first 7 terms aa6 of the sequence. ii. Are the a terms increasing or decreasing or neither? n iii. Assume that lim a exists. Using only the technique we learned in class, find its EXACT limit. M→ ∞ n
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