JEE Mathematics 2025 Question with Solution

Given: the solution states the relevant sum equals $2233$ and asks for the required partial sum of the A.P.

Find: The value of $a_1 + a_2 + a_3 + \dots + a_{2022}$.

Using the property of an Arithmetic Progression, sums of terms equidistant from the ends are equal.

Hence,

The extracted solution states that this total leads to the required value

Therefore, the required sum is $11132$.

Given: An Arithmetic Progression with terms $a_1, a_2, \dots, a_{2024}$.

Find: The value of $a_1 + a_2 + \dots + a_{2022}$.

The solution uses the standard A.P. idea that terms equidistant from the beginning and end have equal pairwise sums:

So the sum of $2024$ terms is

The provided solution then concludes the final required sum as

So the numerical answer is $11132$.

Note: The solution text appears internally inconsistent in its intermediate statements, but its final stated answer is $11132$, which is taken as authoritative here.