The third term of a GP is 10, and the 7th term is 6250. What is the common ratio?

Answer 1

a r^2 = 10
a r^6 = 6250

(10/r^2)r^6 = 6250

r^4 = 625 = 25*25 = 5*5*5*5
so
r = 5

Answer 2

Yes