The infinite sum 2 + 2/5 + 2/25 + 2/125 + ....., is:

The infinite sum 2 + 2/5 + 2/25 + 2/125 + ....., is:

Explanation

i=02(15)i=2.5

Explanation:

General formula for an infinite geometric series sum a+(ar)+(ar2)+(ar3)+... with |r|<1 is
XXXa1r

For the given series a=2 and r=15
So the sum is
XXX2115=2(