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Mathematics · 2019

JEE Main · 9 January 2019, Shift 2 · Q69

The sum of the following series 1+6+(9(1^2+2^2+3^2))/7+(12(1^2+2^2+3^2+4^2))/9; +(15(1^2+2^2+…+5^2))/11+⋯ up to 15 terms, is:

The sum of the following series $$\begin{aligned} & 1+6+\frac{9\left(1^2+2^2+3^2\right)}{7}+\frac{12\left(1^2+2^2+3^2+4^2\right)}{9} \\ & +\frac{15\left(1^2+2^2+\ldots+5^2\right)}{11}+\cdots \text { up to } 15 \text { terms, } \end{aligned} $$ is :
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JEE Main 2019 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.