Find the sum of the GP :

0.15 + 0.015 + 0.0015 + …. To 6 terms

Sum of a G.P. series is represented by the formula, , when |r|<1. ‘S_n’ represents the sum of the G.P. series upto n^th terms, ‘a’ represents the first term, ‘r’ represents the common ratio and ‘n’ represents the number of terms.

Here,

a = 0.15

r = (ratio between the n term and n-1 term) 0.015÷ 0.15 = 0.1

n = 6 terms

⇒

⇒

⇒

∴