Common Ratio of Infinite Geometric Series

Submitted by ladislav.foltyn on Fri, 05/03/2019 - 10:43
Project ID: 
5000000056
Accepted: 
SubArea: 
Infinite series
Template: 
A
Question: 
In each line of the table, mark the interval to which the common ratio of the given infinite geometric series belongs.
Answer Header 1: 
(−∞;−1)
Answer Header 2: 
(−1;1)
Answer Header 3: 
(1;∞)
Question Row 1: 
∑n=1∞(13)1−n
Answer Row 1: 
3
Question Row 2: 
∑n=1∞(−1)n⋅3n−1
Answer Row 2: 
1
Question Row 3: 
∑n=1∞(13)n−2
Answer Row 3: 
2
Question Row 4: 
∑n=1∞(−1)n⋅(13)2−n
Answer Row 4: 
1
Question Row 5: 
∑n=1∞34−n
Answer Row 5: 
2
Question Row 6: 
∑n=1∞3n+2
Answer Row 6: 
3
Question Row 7: 
$\sum\limits_{n=1}^{\infty}\left(-\frac23\right)^n\cdot3^n$
Answer Row 7: 
1
Tex: 
% tiket 32601 \MsrTabulka[1pt]{0.35\linewidth}{0.65\linewidth} \pocetsloupcu{3}