Find number of terms of a G.P. whose first term is `3/4` common ratio is 2 and the last term is 384.

If first term is 3 and common ratio is 3 then find the 6th term of G.P

Find the 12th term of a G.P. whose 8th term is 192 and the common ratio is 2.

Find the 10th term of a G.P. whose 8th term is 192 and the common ratio is 2.

Find the 5th term of GP if the first term is 4 and common ratio is 2.

Find the 7th term of GP if the first term is 7 and common ratio is 2.

Find the nth term of GP if the first term is 7 and common ratio is 3.

Find the sum of first n terms of an A.P. whose nth term is 3n+1.

Find the nth term of AP whose first term is 12 and common difference is 7.

If S_n denotes the sum of n terms of a G.P. whose first term and common ratio are a and r respectively, then : S_1 +S_3+S_5+.....+S_(2n-1)= (an)/(1-r)-(ar(1-r^(2n)))/((1-r)^2 (1+r)) .

If S_n represents the sum of n terms of a G.P. whose first term and common ratio are a and r respectively. Prove that : S_1 +S_2+S_3+.....+S_(m)= (am)/(1-r)-(ar(1-r^(m)))/((1-r)^2) .