SOLUTION: How many terms are there and what is the sum for this series: 5+10+20+...5�(2^n) Tried to answer and got number of erms as just "n" and hence the sum as (5(1-2^n))/-1 which do

Question 994082: How many terms are there and what is the sum for this series:
5+10+20+...5�(2^n)
Tried to answer and got number of erms as just "n" and hence the sum as (5(1-2^n))/-1 which doesn't seem right.
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
5+10+20+...+(5�(2^n))
this is the summation as k varies from 0 to n of (5*2^k)
we use the fact that the partial sum, summation of k from 0 to n of 2^k = 2^(n+1) - 1, then
summation as k varies from 0 to n of (5*2^k) = 5*( 2^(n+1) - 1 )

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