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Mathematics · 2017

JEE Main 2017 · 2017-04-02 Offline · Q62

If, for a positive integer n, the quadratic equation, x(x+1)+(x+1)(x+2)+…. +(x+n̅-̅1̅) (x+ n )=10 n has two consecutive integral solutions, then n is…

If, for a positive integer n, the quadratic equation, $$\begin{aligned} & x(x+1)+(x+1)(x+2)+\ldots . \\ & +(x+\overline{\mathrm{n}-1}) \quad(x+\mathrm{n})=10 \mathrm{n} \end{aligned} $$ has two consecutive integral solutions, then n is equal to :
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JEE Main 2017 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.