Question

Second term of a GP is 6 and its fifth term is 9 times of its third term . Find the geometric progression . Consider that each term of the G.P. is positive.

Answer 1

Here is the solution

Answer 2

Step-by-step explanation:

Given,

T2=6 =ar=6.

According to the question,

T5=9*T3

Or

ar^4=9*ar^2

On solving,

r^2=9

r=√9

r=+_3

Now putting the value of r in ar=6 to find a.

a*(3)=6 [as mentioned in the question to consider only positive term]

a=6/3

a=2.

Now ,the G.P. is:

2,6,18.......

HOPE IT HELPS U ALL .

THIS IS MY FIRST ANSWER IN THE BRAINLY .