Find to infinity, the sum of the sequence (1, frac{9}{10}, left(frac{9}{10}right)^2, left(frac{9}{10}right)^3,…..)
-
A.
10 -
B.
9 - C.10/9
- D.9/10
Correct Answer: Option A
Explanation
(a=1, r=frac{9}{10}\
S_n = frac{a}{1-r}\
S_n = frac{1}{1-frac{9}{10}}\
=1div frac{1}{10}\
=1times frac{10}{1}\
10)