The ratio of the sum of n terms of two A.P's is . Find the ratio of terms.
Find the ratio of terms:
Step 1: Evaluate the sum for nth term
Let be the first terms and the common differences of the two given A.P.'s. Then, the sums of their terms are given by
And,
Therefore,
It is given that,
Step 2: To find the ratio of the mth terms of the two given A.P's, we replace by in equation .
Therefore,
Hence, the ratio of the terms of two A.P's is .