JEE Main 2024 Mathematics question
If in a G.P. of 64 terms, the sum of all the terms is 7 times the sum of the odd terms of the G.P. then the common ratio of the G.P. is equal to
Answer: (A)
Solution
The sum of all 64 terms is a(r⁶⁴ − 1)/(r − 1). The odd-numbered terms form a G.P. of 32 terms with ratio r², whose sum is a(r⁶⁴ −
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