JEE Main 2024 — Sequences And Series Question with Solution
From: JEE Main 2024 (Online) 6th April Evening Shift
Question
Let be an equilateral triangle. A new triangle is formed by joining the middle points of all sides of the triangle and the same process is repeated infinitely many times. If is the sum of perimeters and is be the sum of areas of all the triangles formed in this process, then :
Choose an option
Show full solutionCorrect option: B
Step-by-step explanation
is an equilateral triangle having side unit
Now, perimeter sum of all sides
Area
Now,
Now,
From equation (i) & (ii)
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This is a previous-year question from JEE Main 2024, 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.