JEE Main 2023 — Sequences And Series Question with Solution
From: JEE Main 2023 (Online) 10th April Evening Shift
Question
If to terms, then is equal to :
Choose an option
Show full solutionCorrect option: D
Correct answer
D223
Step-by-step explanation
Given that
\begin{aligned} & \mathrm{S}_n=4+11+21+24+50+\ldots+\mathrm{T}_n \\\\ & \mathrm{~S}_n=~~~~~~~~4+11+21+34++\mathrm{T}_{n-1}+\mathrm{T}_n \\ & -\quad-\quad-\quad-\quad-\quad-\quad- \\ & \hline 0=4+7+10+13+16+\ldots\left(\mathrm{T}_n-\mathrm{T}_{n-2}\right)-\mathrm{T}_n \end{aligned}
\begin{aligned} & \mathrm{S}_n=4+11+21+24+50+\ldots+\mathrm{T}_n \\\\ & \mathrm{~S}_n=~~~~~~~~4+11+21+34++\mathrm{T}_{n-1}+\mathrm{T}_n \\ & -\quad-\quad-\quad-\quad-\quad-\quad- \\ & \hline 0=4+7+10+13+16+\ldots\left(\mathrm{T}_n-\mathrm{T}_{n-2}\right)-\mathrm{T}_n \end{aligned}
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This is a previous-year question from JEE Main 2023, covering the Sequences And Series chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.