Let Sₙ = 1/2 + 1/6 + 1/12 + 1/20 + … up to n terms. If the sum of… | JEE Main 2025 Mathematics PYQ

MCQMediumJEE Main 2025 · 24 January, Shift 1Arithmetic Progression (AP)

Let $S_n = \frac{1}{2} + \frac{1}{6} + \frac{1}{12} + \frac{1}{20} + \dots$ up to $n$ terms. If the sum of the first six terms of an A.P. with first term $-p$ and common difference $p$ is $\sqrt{2026 S_{2025}}$ , then the absolute difference between the 20th and 15th terms of the A.P. is:

A
$25$
B
$90$
C
$20$
D
$45$

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