Question

The first two terms of an infinite G.P. are together equal to 5, every
term is 3 times the sum of all the terms that follow it; find the series
​

Answer 1

Answer:

a= first term & r= common ratio of G.P.

Given : a+ar=5

ar

2

=

1−r

3ar

3

⇒1−r=3r

⇒r=

4

1

a=

1+

4

1

5

=4

So, the series is 4,1,

4

1

,

16

1

. . . . . . . . . . . .