Mathematics

Problem

Let

a_1, a_2, \dots, a_n

be a given A.P. whose common difference is an integer and

S_n = a_1 + a_2 + \dots + a_n

. If

a_1 = 1

a_n = 300

and

15 \le n \le 50

, then the ordered pair

(S_{n-4}, a_{n-4})

is equal to (a) (2480, 248) (b) (2490, 249) (c) (2490, 248) (d) (2480, 249)