The sum of the series : $(2)^2+2(4)^2+3(6)^2+\ldots$ upto 10 terms is :

Question

Aicharya · Accepted Answer

$2^2+2(4)^2+3(6)^2+\ldots \ldots$ upto 10 terms $=2^2\left[1^3+2^3+3^3+\ldots \ldotsight.$ upto 10 terms $]$ $=4 \cdot\left(\frac{10 	imes 11}{2}ight)^2=12100$

The sum of the series : $(2)^2+2(4)^2+3(6)^2+\ldots$ upto 10 terms is :

Solution