Sum of Infinite Geometric Series

Submitted by ladislav.foltyn on Sat, 02/23/2019 - 13:30
Project ID: 
6000000027
Accepted: 
SubArea: 
Infinite series
Type: 
Match
Layout: 
6x6
Question: 
Given infinite geometric series and numbers, match each series with its correct sum.
Questions Title: 
Infinite geometric series:
Answers Title: 
Sums:
Question 1: 
$\sum\limits_{n=1}^{\infty}\left(\frac13\right)^{n-2}$
Answer 1: 

$\frac92$

Question 2: 
$\sum\limits_{n=1}^{\infty}3^{4-n}$
Answer 2: 

$\frac{81}2$

Question 3: 
$\sum\limits_{n=1}^{\infty}\left(-\frac23\right)^n$
Answer 3: 

$-\frac25$

Question 4: 
$\sum\limits_{n=1}^{\infty}3^{3-n}$
Answer 4: 

$\frac{27}2$

Question 5: 
$\sum\limits_{n=1}^{\infty}\left(\frac32\right)^{-n}$
Answer 5: 

$2$

Question 6: 
$\sum\limits_{n=1}^{\infty}\left(\frac23\right)^{2n}$
Answer 6: 

$\frac45$

Tex: 
% tiket 32602 \NastavOT{3} \NastavOD{3}