Find out four numbers such that, first three numbers are in G.P., last three numbers are in A.P. having common difference , first and last numbers are same.
Step 1. Find the four numbers:
Given:
and the Last of the numbers are in AP.
Let the number are,.
Also, the first number is the same as the 4th,.
the 4 numbers are
The first 3 numbers of these are in G.P.
Step 2. Put the value of
Step 3. Find all four terms of the GP:
Now, First term
Second term
Third term
Fourth term
the required series is
Hence, Option ‘C’ is Correct.