Sequence And Series Question 468
Question: The sum can be found of a infinite G.P. whose common ratio is $ r $
[AMU 1982]
Options:
A) For all values of $ r $
B) For only positive value of $ r $
C) Only for $ 0<r<1 $
D) Only for $ -1<r<1(r\ne 0) $
Show Answer
Answer:
Correct Answer: D
Solution:
$ {S_{\infty }}=\frac{a}{1-r} $ where $ -1<r<1\ \ i.e.\ |r|\ <1 $ .
BETA
