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Question

Second term of a GP is 1000 and the common ratio is r = 1n where n is a natural number. Pn is the product of n terms of this GP. P6 > P5 and P6 > P7, what is the sum of all possible values of n

A
4
CORRECT ANSWER WRONG ANSWER
B
9
CORRECT ANSWER WRONG ANSWER
C
5
CORRECT ANSWER WRONG ANSWER
D
13
CORRECT ANSWER WRONG ANSWER
Solution

Correct option is

(B)

Explanatory Answer

according to ques , common ratio is positive and one term is positive which means = all terms should be positive.

1/r = n

n can be 4 or 5 , sum of possible values = 9

so , B is the correct option