
### Instruction: help me answer this question Show the ratio of the sum of the first n terms of a G.P. to the sum of terms from (n+1)th to (2n)th term is given by, think step by step
### Assistant: We first find the sum of the first n terms and the sum of terms from (n+1)th to (2n)th term using the formula for the sum of a G.P. Then, expressing the latter sum as a G.P., we show that the given ratio simplifies to r^(n^2). , The answer is The ratio of the sum of the first n terms of a G.P. to the sum of terms from (n+1)th to (2n)th term is given by
