🛠️ JEE➗ Maths

Let \(T_r\) be the \(r^{th}\) term of an A.P. If for some \(m,\) \({\mathrm{T}}_{\mathrm{m}}=\frac{1}{25},{\mathrm{T}}_{…

Q1

Let \(T_r\) be the \(r^{th}\) term of an A.P. If for some \(m,\) \({\mathrm{T}}_{\mathrm{m}}=\frac{1}{25},{\mathrm{T}}_{25}=\frac{1}{20}\text{ and }20\sum _{\mathrm{r}=1}^{25}{\mathrm{T}}_{\mathrm{r}}=13,\) then \(5\mathrm{m}\sum _{\mathrm{r}=\mathrm{m}}^{2\mathrm{m}}{\mathrm{T}}_{\mathrm{r}}\) is equal to:

[JEE Main 2025, 28 Jan (Shift 1)]

a

112

b

126

c

98

d

142

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