Numbering puzzle

3, 10, 24, 50, 120, 170, 288, ?

what comes at '?' ?

ANSWER :


2^2 - 1 = 3, 3^2 + 1 =10, 5^2 -1 = 24, 7^2 +1 =50, 11^2 -1 =120, 13^2 +1 =170, 17^2 - 1=288 and hence the next term is 19^2 + 1 = 362