root7,root21,3root7........nterms in gp

clearly

a = √7
r = √3

An = √7*√3^(n-1)

To find the nth term in a geometric progression (GP), you need to know the common ratio (r) and the first term (a1).

From the given terms, we can observe that the common ratio (r) is √(21/7) = √3.

The first term (a1) is given as root 7.

The formula to find the nth term (an) in a GP is:
an = a1 * (r^(n-1))

Substituting the values into the formula, we get:
an = (√7) * (√3)^(n-1)

Therefore, the nth term in the given GP is (√7) * (√3)^(n-1).