General Term Or the nth Term of a G.P.

Find 2 + 22 + 222 + 2222 + … upto n terms.

Which term of the G. P. 5, 25, 125, 625, … is 5¹⁰?

Find three numbers in G. P. such that their sum is 21 and sum of their squares is 189.

The fifth term of a G. P. is x, eighth term of the G. P. is y and eleventh term of the G. P. is z. Verify whether y² = xz.

For a sequence, if S_n = 2 (3ⁿ – 1), find the n^th term, hence show that the sequence is a G.P.

In a G.P., the fourth term is 48 and the eighth term is 768. Find the tenth term.

Find four numbers in G. P. such that sum of the middle two numbers is `10/3` and their product is 1.

Find the n^th term of the sequence 0.6, 0.66, 0.666, 0.6666, …