Let A_1, A_2, A_3 be the three A.P. with the same common difference d and having their first terms as A, A +...

Question

Let A_1, A_2, A_3 be the three A.P. with the same common difference d and having their first terms as A, A + 1, A + 2, respectively. Let a, b, c be the 7^ th , 9^ th , 17^ th terms of A_1, A_2, A_3, respectively such that vmatrix a&7&1 2b&17&1 &17&1 vmatrix +70=0. If a = 29, then the sum of first 20 terms of an AP whose first term is c – a – b and common difference is d 12 , is equal to _________.

Accepted Answer

495

JEE Main 2023 Mathematics question

Solution