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. ‘Sn’ represents the sum of the G.P. series upto nth 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
⇒
⇒
⇒
∴