Join the Most Relevant JEE Main 2025 Test Series & get 99+ percentile! Join Now
Search any question & find its solution
Question: Answered & Verified by Expert
An arithmetic progression is written in the following way

The sum of all the terms of the $10^{\text {th }}$ row is_______
MathematicsSequences and SeriesJEE MainJEE Main 2024 (08 Apr Shift 2)
Solution:
2069 Upvotes Verified Answer
The correct answer is: 1505
$\begin{aligned} & 2,5,11,20, \ldots . . \\ & \text { General term }=\frac{3 n^2-3 n+4}{2} \\ & \begin{aligned} & \mathrm{T}_{10}=\frac{3(100)-3(10)+4}{2} \\ & \quad= 137 \\ & 10 \text { terms with c.d. }=3 \\ & \text { sum }=\frac{10}{2}(2(137)+9(3)) \\ &=1505\end{aligned}\end{aligned}$

Looking for more such questions to practice?

Download the MARKS App - The ultimate prep app for IIT JEE & NEET with chapter-wise PYQs, revision notes, formula sheets, custom tests & much more.