Mathematics · 2023
JEE Main · 24 January 2023, Shift 1 · Q83
The 4^th term of GP is 500 and its common ratio is 1/m, m ∈ N. Let S_n denote the sum of the first n terms of this GP. If S_6> S_5+1 and S_7<…
The $\displaystyle 4^{\text {th }}$ term of GP is $\displaystyle 500$ and its common ratio is $\displaystyle \frac{1}{m}, m \in \mathrm{~N}$. Let $\displaystyle \mathrm{S}_{\mathrm{n}}$ denote the sum of the first n terms of this GP. If $\displaystyle \mathrm{S}_6>\mathrm{S}_5+1$ and $\displaystyle \mathrm{S}_7<\mathrm{S}_6+\frac{1}{2}$, then the number of possible values of m is
$\displaystyle \_\_\_\_$
Official answer
From NTA’s final answer key for this paper.
12
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JEE Main 2023 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.