Three numbers are in AP such that their sum is and sum of their squares is .
The greatest number among them is
Explanation for the correct answer:
Let the three numbers in arithmetic progression be
It is given that the sum of these numbers is
It is given that the sum of their squares is
Substitute value of , we get
Hence, the terms are or
or
Hence, the arithmetic progression is given as or
Hence, the largest term for these arithmetic progressions is .
Hence, option (B) is the correct answer.