Find the sum of the series 0.1+0.05+0.025+ ... and also find the 11 term of seq 0.1,0.05,0.025, ...

This is a geometric progression. take 0.05/0.1 = 0.5 which is your r.

r = 0.5

use the sum to infinity formula since r is smaller than 1.

since u alr have your r value, to find the 11th term just sub n=11 inside and r=0.5 inside the Sn formula under GP. then u will have your answer