4. Here are the first few terms of a sequence: 1 2 2 3 3' 4' 1 (b) Is this sequence monotone? Is it increasing or decreasing? 4 5' This is an example of an alternating sequence because the sign changes + to - to +, etc. (a) What patterns do you see in this sequence? Find a formula for the nth term, starting with n=1. colors and denominators increase by I while the & and (d) Does this sequence converge? If so, find its limit. 5 (c) Is this sequence bounded? If so, find an upper bound and a lower bound for the sequence.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 19E
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4. Here are the first few terms of a sequence:
1
2
2 3
³144
3' 4'
4 5
5' 6'
This is an example of an alternating sequence because the sign changes + to - to +, etc.
(a) What patterns do you see in this sequence? Find a formula for the nth term, starting with n = 1.
the
as and deformator's increase by I while the + and
(-1)
ntl
(b) Is this sequence monotone? Is it increasing or decreasing?
ज
(d) Does this sequence converge? If so, find its limit.
(c) Is this sequence bounded? If so, find an upper bound and a lower bound for the sequence.
Transcribed Image Text:4. Here are the first few terms of a sequence: 1 2 2 3 ³144 3' 4' 4 5 5' 6' This is an example of an alternating sequence because the sign changes + to - to +, etc. (a) What patterns do you see in this sequence? Find a formula for the nth term, starting with n = 1. the as and deformator's increase by I while the + and (-1) ntl (b) Is this sequence monotone? Is it increasing or decreasing? ज (d) Does this sequence converge? If so, find its limit. (c) Is this sequence bounded? If so, find an upper bound and a lower bound for the sequence.
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