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Sequences and Series question

2025 · 28 Jan · Shift 1 · Q33

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JEE Main
Mathematics
Sequences and Series
2025 · 28 Jan · Shift 1 · Q33

Sequences and Series question

2025 · 28 Jan · Shift 1 · Q33

JEE MainMathematicsSequences and SeriesMCQ+4 / −1

Let

\mathrm{T}_{\mathrm{r}}

be the

\mathrm{r}^{\text {th }}

term of an A.P. If for some

\mathrm{m}, \mathrm{T}_{\mathrm{m}}=\frac{1}{25}, \mathrm{~T}_{25}=\frac{1}{20}

, and

20 \sum\limits_{\mathrm{r}=1}^{25} \mathrm{~T}_{\mathrm{r}}=13

, then

5 \mathrm{~m} \sum\limits_{\mathrm{r}=\mathrm{m}}^{2 \mathrm{~m}} \mathrm{~T}_{\mathrm{r}}

is equal to

A
98
B
126
C
112
D
142

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