# Determine whether the sum to infinity of the following G.P.s exist, if exists find them: 12,14,18,116,... - Mathematics and Statistics

Sum

Determine whether the sum to infinity of the following G.P.s exist, if exists find them:

1/2, 1/4, 1/8, 1/16,...

#### Solution

Here, a = 1/2, r = 1/2

Since | r | = |1/2| = 1/2 < 1, the sum to infinity of this G.P. exist and

S = "a"/(1 - "r")

= ((1/2))/(1 - 1/2)

= ((1/2))/((1/2))

= 1

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#### APPEARS IN

Balbharati Mathematics and Statistics 2 (Arts and Science) 11th Standard Maharashtra State Board
Chapter 2 Sequences and Series
Exercise 2.3 | Q 1. (i) | Page 33