Let r = - For both of the following answer blanks, decide whether the given sequence or series is convergent or divergent. If convergent, enter the limit (for a sequence) or the sum (for a series). If divergent, enter INF if it diverges to infinity, MINF if it diverges to minus infinity, or DIV otherwise. A. Consider the sequence {nr"}. lim nr" = 0 121-400 B. Take my word for it that it can be shown that Now consider the series ∞ n=1 nr." MINF n=1 nr" i=1 ir¹ - nr+2 (n+1)+1+r (1-r)²

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 82E
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Letr = 14.
For both of the following answer blanks, decide whether the given sequence or series is convergent or divergent. If convergent, enter the limit (for a sequence) or the sum (for a series). If
divergent, enter INF if it diverges to infinity, MINF if it diverges to minus infinity, or DIV otherwise.
A. Consider the sequence {nr"}.
lim nr" = 0
n→∞0
B. Take my word for it that it can be shown that
Now consider the series
∞
n=1
nr
MINE
8
n=1
nr
n
i=1
² − (n + 1)pn+¹ +p
(1-r)²
nr+2
Transcribed Image Text:Letr = 14. For both of the following answer blanks, decide whether the given sequence or series is convergent or divergent. If convergent, enter the limit (for a sequence) or the sum (for a series). If divergent, enter INF if it diverges to infinity, MINF if it diverges to minus infinity, or DIV otherwise. A. Consider the sequence {nr"}. lim nr" = 0 n→∞0 B. Take my word for it that it can be shown that Now consider the series ∞ n=1 nr MINE 8 n=1 nr n i=1 ² − (n + 1)pn+¹ +p (1-r)² nr+2
Letr = 17.
For both of the following answer blanks, decide whether the given sequence or series is convergent or divergent. If convergent, enter the limit (for a sequence) or the sum (for a series). If
divergent, enter INF if it diverges to infinity, MINF if it diverges to minus infinity, or DIV otherwise.
A. Consider the sequence {nr"}.
lim nr" = 0
n+∞0
B. Take my word for it that it can be shown that
Now consider the series
n=1
nr" = INF
8
n=1
nr
IM³
ip² =
? − (n + 1)pn+¹ +r
(1-r)²
npr+2
Transcribed Image Text:Letr = 17. For both of the following answer blanks, decide whether the given sequence or series is convergent or divergent. If convergent, enter the limit (for a sequence) or the sum (for a series). If divergent, enter INF if it diverges to infinity, MINF if it diverges to minus infinity, or DIV otherwise. A. Consider the sequence {nr"}. lim nr" = 0 n+∞0 B. Take my word for it that it can be shown that Now consider the series n=1 nr" = INF 8 n=1 nr IM³ ip² = ? − (n + 1)pn+¹ +r (1-r)² npr+2
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