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JEE Main 20248 AprilEvening Shift
Exam
JEE Main
Year
2024
Date
8 April
Shift
Evening Shift
Subject
Mathematics
Chapter
Sequences and Series

JEE Main 2024 · 8 April · Evening Shift · Mathematics · Sequences and Series

An arithmetic progression is written in the following way The sum...

An arithmetic progression is written in the following way The sum of all the terms of the 10th 10^{\text{th }} row is_______

Correct answer

0

Step-by-step solution

\begin{aligned} & 2,5,11,20, \ldots . . \\ & \text{ General term }=\frac{3 n^2-3 n+4}{2} \\ & \begin{aligned} & \mathrm{T}_{10}=\frac{3(100)-3(10)+4}{2} \\ & \quad= 137 \\ & 10 \text{ terms with c.d. }=3 \\ & \text{ sum }=\frac{10}{2}(2(137)+9(3)) \\ &=1505\end{aligned}\end{aligned}$
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