Second term of a GP is 1000 and the common ratio is r 1 n where n is a natural number Pn is the prod...........

Quantitative Aptitude ( CCS) Arithmetic progression

Second term of a GP is 1000 and the common ratio is r = 1/n 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?