(1) ,- (1 -2)"/3" (2) ,- nR/(2in+n) Z, -(-1)"-k +, where k is any integer.

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
Section14.3: Another Look At Problem Solving
Problem 16PS
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I need all questions please with correct option from 2nd pic as soon as possible
In problems 1 - 5, determine if the sequence is bounded. If so, is it convergent? Find the
magnitude of the ultimate value(s) of the sequence. If it is convergent, it will have a single,
finite (or zero) value.
(1) , = (1 - 21)2"/3"
(2) 2, = nn/(21n +n-)
(3) z, = (-1)"-k +1, where k is any integer.
(4)
2 =n2 +/
(5) z, = (5 - 41)"
Transcribed Image Text:In problems 1 - 5, determine if the sequence is bounded. If so, is it convergent? Find the magnitude of the ultimate value(s) of the sequence. If it is convergent, it will have a single, finite (or zero) value. (1) , = (1 - 21)2"/3" (2) 2, = nn/(21n +n-) (3) z, = (-1)"-k +1, where k is any integer. (4) 2 =n2 +/ (5) z, = (5 - 41)"
In problems 1 – 5, choose the answer from the following choices.
It is possible for an answer to be used more than once. Don't assume every answer is used.
a) lim z| = 0
n-00
b) lim |z,] = 1.40496
n-00
c) lim |zn| = 1.5708
n-00
d) The sequence is bounded but does not converge
e) The sequence is not bounded.
Transcribed Image Text:In problems 1 – 5, choose the answer from the following choices. It is possible for an answer to be used more than once. Don't assume every answer is used. a) lim z| = 0 n-00 b) lim |z,] = 1.40496 n-00 c) lim |zn| = 1.5708 n-00 d) The sequence is bounded but does not converge e) The sequence is not bounded.
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