+0  
 
0
353
1
avatar

An infinite geometric series has a common ratio 1/5 and sum 16. What is the first term of the series?

 Aug 24, 2021
 #1
avatar+592 
0

Let S be the sum and a is the first term:

 

S = S/5 + a = 16

5S = S + 5a = 80

4S = 5a

4 x 16 = 5a

64 = 5a

a = $\boxed{\frac{64}5}$

 Aug 24, 2021
edited by SparklingWater2  Aug 24, 2021

3 Online Users

avatar