The sum of terms of two arithmetic series are in the ratio, then the ratio of their terms is
explanation for the correct option:
Find the required ratio.
Given: the sum of terms of two arithmetic series are in the ratio
Let
We know that the sum of terms of the G.P.
Let be the first term and be the common difference
So,
and
We also know that, the term of an AP
Now we need the ratio of their terms that means,
If we put in RHS of then, we get
Now put equation , we get
Therefore, the ratio of two arithmetic series of their terms is .
Hence, option (A) is the correct answer.