Let S_n=\frac{1}{2}+\frac{1}{6}+\frac{1}{12}+\frac{1}{20}+\cdots upon 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 20^{\text{th }} and 15^{\text{th }} terms of the A.P. is [24 Jan 2025 Shift 1]

JEE Main 24 Jan 2025 Shift 1 Paper

Section: Mathematics

Question : 1 of 75

Marks: +1, -0

Let Sn=‌

+‌

+⋯ upon n terms. If the sum of the first six terms of an A.P. with first term −p and common difference p is √2026S2025, then the absolute difference between 20‌th ‌ and 15‌th ‌ terms of the A.P. is

[24 Jan 2025 Shift 1]

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