Maharashtra State BoardHSC Commerce 11th
Advertisement Remove all ads

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

Sum

Determine whether the sum to infinity of the following G.P’.s exist. If exists, find it:

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

Advertisement Remove all ads

Solution

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

Here, `"a" = 1/2, "r" = (1/4)/(1/2) = 1/2`

Since, | r | = `|1/2| < 1`

∴ Sum to infinity exists.

Sum to infinity = `"a"/(1 - "r") = (1/2)/(1 - 1/2)` = 1.

Concept: Sum of Infinite Terms of a G. P.
  Is there an error in this question or solution?
Advertisement Remove all ads

APPEARS IN

Balbharati Mathematics and Statistics 1 (Commerce) 11th Standard Maharashtra State Board
Chapter 4 Sequences and Series
Exercise 4.3 | Q 1. (i) | Page 56
Advertisement Remove all ads
Advertisement Remove all ads
Share
Notifications

View all notifications


      Forgot password?
View in app×