JEE Main 2014 — Sequences and Series Question with Solution
JEE Main 2014 (11 Apr Online)
Question
In a geometric progression, if the ratio of the sum of first 5 terms to the sum of their reciprocals is 49 , and the sum of the first and the third term is 35. Then the first term of this geometric progression is:
Choose an option
Show full solutionCorrect option: C
Correct answer
C28
Step-by-step explanation
According to Question
(here, Sum of first 5 terms and Sum of their reciprocals)
Also, given,
Now substituting the value of eq. (1) in eq. (2)
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This is a previous-year question from JEE Main 2014, 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.