Question

Find the sum of the following series up to n terms 0.6+0.66+0.666+........​

Answer 1

the short trick to find the solution of any question like the given question upto n terms is

like example

0.a +0.aa+ 0.aaa...........upto nterms

answer is a/81(1/10^n +9n-1)

here n is the number of terms

i.e how many terms are there which we need to find sum like upto 10 ,20 etc .terms then n is 10,20 etc.

for this question answer is by applying trick is

6/81(1/10^n +9n-1)