Maharashtra State BoardHSC Science (Electronics) 11th
Advertisement Remove all ads

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,...`

Advertisement Remove all ads

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

  Is there an error in this question or solution?
Advertisement Remove all ads

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
Advertisement Remove all ads
Advertisement Remove all ads
Share
Notifications

View all notifications


      Forgot password?
View in app×