Let S be the sum, P the product and R the sum of reciprocals of n terms in a G.P. Prove that `P^(2)R^(n) = S^n` .

Sum of n-terms of a G.P. is ___.

Find the sum of first n terms of the G.P. 256, 64, 16,…

Find the sum of first n terms of the G.P. 5, -3, (9)/(5), -(27)/(25), …

When r = 1 , the formula for finding sum to n terms of a G.P. is …….

When r ne 1 , the formula for finding sum to n terms of a G.P. is ……..

If the first and the n^("th") term of a G.P. are a and b, respectively, and if P is the product of n terms, prove that P^2 = (ab)^n .

If the sum of m terms of an A.P. is same as the sum of its n terms, then the sum of its (m+n) terms is