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If 36,p,94,q are consecutive terms of an exp...

If 36,p,94,q are consecutive terms of an exponential sequence (G.P.). Find the sum of p and q.

A.

916

B.

8116

C.

9

D.

9916

Correct answer is D

Tn=arn1 (for an exponential sequence)

T1=36=a

T2=ar=36r=p

T3=ar2=36r2=94

T4=ar3=36r3=q

36r2=94r2=9436=116

r=116=14

p=36×14=9;q=94×14=916

p+q=9+916=9916