JEE Main 2013 — Sequences and Series Question with Solution
JEE Main 2013 (25 Apr Online)
Question
Given a sequence of 4 numbers, first three of which are in G.P. and the last three are in A.P. with common difference six. If first and last terms of this sequence are equal, then the last term is :
Choose an option
Show full solutionCorrect option: B
Correct answer
B8
Step-by-step explanation
Let be four numbers of the sequence.
Now, according to the question and and
Also, given
Now, and ,
gives
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This is a previous-year question from JEE Main 2013, 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.