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Sequences and Series question

2025 · 24 Jan · Shift 1 · Q41

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JEE Main
Mathematics
Sequences and Series
2025 · 24 Jan · Shift 1 · Q41

Sequences and Series question

2025 · 24 Jan · Shift 1 · Q41

JEE MainMathematicsSequences and SeriesMCQ+4 / −1

Let

S_n=\frac{1}{2}+\frac{1}{6}+\frac{1}{12}+\frac{1}{20}+\ldots

upto

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 \mathrm{~S}_{2025}}

, then the absolute difference betwen

20^{\text {th }}

and

15^{\text {th }}

terms of the A.P. is

A
20
B
45
C
90
D
25

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