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^{\text{th }}, 9^{\text{th }}, 17^{\text{th }} terms of A_1, A_2, A_3, respectively such that \left|\begin{array}{c}{\a\end{array} , 7 , 1 ; 2 {\b} , 17 , 1 ; {\c} , 17 , 1|}+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 \frac{ {\d}}{12}, is equal to ________. [25-Jan-2023 Shift 1]

JEE Mains 25-Jan-2023 Shift 1 Solved Paper

Section: Mathematics

Question : 86 of 90

Marks: +1, -0

Let A1,A2,A3 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 7‌th ‌,9‌th ‌,17‌th ‌ terms of A1,A2,A3, respectively such that |

a	7	1
2b	17	1
c	17	1

|+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 ‌

, is equal to ________.

[25-Jan-2023 Shift 1]

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A+6d	7	1
2(A+1+8d)	17	1
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