Find the sum to infinity of the following sequence (1, frac{9}{10}, (frac{9}{10})^{2}, (frac{9}{10})^{3})

A.
(frac{1}{10}) 
B.
(frac{9}{10}) 
C.
(frac{10}{9}) 
D.
10
Correct Answer: Option D
Explanation
(S_{infty} = frac{a}{1 – r}) (Sum to infinity of a G.P)
(a = 1; r = frac{9}{10})
(S_{infty} = frac{1}{1 – frac{9}{10}})
= (frac{1}{frac{1}{10}} = 10)