Question

Find the g.p in which second terms is root 6 and 6th term is 9 root​

Answer 1

Answer:

We know that the formula for the nth term of an G.P is Tn=arn−1, where a is the first term, r is the common ratio.

It is given that the 2nd term is T2=6, therefore,

 

T2=ar2−1⇒6=ar⇒a=r6.....(1)  

It is also given that the 6th term is T6=96, therefore using equation 1,

 

T6=ar6−1⇒96=r6×r5⇒696=r4⇒r4=9⇒(r2)2=32⇒r2=

Step-by-step explanation:

Hope IT will help you.....