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 + ·s + 5^2))/11 + … up to 15 terms is

The sum of the following series 1 + 6 + (9(1^2 + 2^2 +… — JEE Main 2019 Mathematics PYQ

JEE Main 2019 · 9 Jan · Shift II

The sum of the following series

1 + 6 + \frac{9(1^2 + 2^2 + 3^2)}{7} + \frac{12(1^2 + 2^2 + 3^2 + 4^2)}{9} + \frac{15(1^2 + 2^2 + \cdots + 5^2)}{11} + \ldots \text{ up to 15 terms is}

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Correct option: B

[JEE Main 2019 · 9 Jan · Shift II]

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