jee-main 2019 Q65

jee-main · India · session1_09jan_shift2 Arithmetic Sequences and Series Telescoping or Non-Standard Summation Involving an AP

The sum of the following series $1 + 6 + \frac{9\left(1^2 + 2^2 + 3^2\right)}{7} + \frac{12\left(1^2 + 2^2 + 3^2 + 4^2\right)}{9} + \frac{15\left(1^2 + 2^2 + \ldots + 5^2\right)}{11} + \ldots$ up to 15 terms, is:
(1) 7520
(2) 7510
(3) 7830
(4) 7820

The sum of the following series $1 + 6 + \frac{9\left(1^2 + 2^2 + 3^2\right)}{7} + \frac{12\left(1^2 + 2^2 + 3^2 + 4^2\right)}{9} + \frac{15\left(1^2 + 2^2 + \ldots + 5^2\right)}{11} + \ldots$ up to 15 terms, is:\\
(1) 7520\\
(2) 7510\\
(3) 7830\\
(4) 7820

Paper Questions

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