For three positive integers and such that are in A.P. with common difference . The is equal to...

For three positive integers p,q,r,x^{pq^{2}} = y^{qr} = z^{p^{2}r} and r = pq + 1 such that 3,3\log_{y}x,3\log_{z}y,7\log_{x}z are in A.P. with common difference 1/2. The r - p - q is equal to: Sequence & Series (Mathematics)

For three positive integers

p,q,r,x^{pq^{2}} = y^{qr} = z^{p^{2}r}

and

r = pq + 1

such that

3,3\log_{y}x,3\log_{z}y,7\log_{x}z

are in A.P. with common difference

1/2

. The

r - p - q

is equal to