+0  
 
0
540
1
avatar+285 

An infinite geometric series has first term \(328\) and a sum of \(2009\). What is its common ratio?

 Jan 6, 2021
 #1
avatar+129899 
+1

Sum of an infinite series =    first term / ( 1  -common ratio )

 

2009  =  328/ (1  -r)       rearrange as

 

2009 (1 -r)   = 328

 

2009  - 2009r =  328

 

2009 - 328  =  2009r

 

1681  = 2009 r

 

r   =   1681/2009   = 41/49

 

 

cool cool cool

 Jan 6, 2021

2 Online Users