JEE 2023 — Mathematics PYQ

1. $a$ aur $d$ ke beech relation:

Maana ki A.P. ka pehla term $a$ hai aur common difference $d$ hai.

Humein diya gaya hai ki $a_7=3$:

2. Product $a_1{a}_4$ ko minimize karna:

Product $P=a_1\cdot a_4=a(a+3d)$

$a$ ki value rakhne par:

Minimum value ke liye $\frac{dP}{dd}=0$:

Ab $a$ ki value nikaalte hain:

3. $n$ ki value nikalna:

Sum of first $n$ terms $S_n=0$:

Chunki $n\ne 0$, isliye:

4. Final expression calculate karna:

Humein $n!-4a_{n(n+2)}$ nikalna hai.

Yahan $n=5$, toh $n(n+2)=5(7)=35$. Humein $a_{35}$ chahiye:

Ab value put karte hain:

Correct Option: (4)