JEE Main 2012 — Sequences and Series Question with Solution
JEE Main 2012 (07 May Online)
Question
The difference between the fourth term and the first term of a Geometrical Progresssion is 52. If the sum of its first three terms is 26 , then the sum of the first six terms of the progression is
Choose an option
Show full solutionCorrect option: C
Correct answer
C728
Step-by-step explanation
Let be six terms of a G.P. where ' ' is first term and is common ratio.
According to given conditions, we have and
To find:
Consider
Divide (1) by (2), we get
we know
Practice this on the real CBT interface
Solve this JEE Main question (and the rest of the Sequences and Series chapter) on PrepSharp's TCS iON-style CBT player — with timer, bookmarks and session analytics.
Solve interactively →About this question
This is a previous-year question from JEE Main 2012, 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.