The sum of n terms of the G.P. 3, 6, 12, … is 381. Find the value of n.
Given:
Sum of GP = 381
∴ Common Ratio = r =
a = 3
To find: Number of terms = n.
Sum of GP for n terms =
⇒
⇒ 127 = 2n - 1
⇒ 128 = 2n
⇒ 27 = 2n
∴ n = 7.