CAT 2022 Progression Question (Medium)

Question

Consider the arithmetic progression and let denote the sum of the first terms of this progression. Then the value of is

Accepted Answer

We are to find 25 sum_ n 1 25 A_n where is the sum of the first terms of the arithmetic progression . --- Step 1 General term and sum formula AP given First term Common difference nth term T_n a n-1 d 3 4 n-1 4n - 1 Sum of first terms A_n 2 2a n-1 d Substitute , A_n 2 6 4 n-1 2 4n 2 n 2n 1 Simplify

CAT 2022

Quantitative

Progression

Medium

Consider the arithmetic progression $3,7,11, \ldots$ and let $A_n$ denote the sum of the first $n$ terms of this progression. Then the value of $\frac{1}{25} \sum_{n=1}^{25} A_n$ is

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