Geometric progression

[Guest]

If any geometric progression's the (p+q)'th term is n and (p-q)'th term is m then find the p'th and q'th term

[Guest]

Here are geometric progression formulas.

p + q = n

p - q = m

We add the both equations and get
(p + q) + (p - q) = n + m
2p = n + m
p = (n + m)/2

we subtract the both simultaneous equations and we get
(p + q) - (p - q) = n - m
2q = n - m
q = (n - m)/2

As we see we never use the condition that both p and q form a geometric progression