Given that ( 1<sup>2</sup> + 2<sup>2</sup> + 3<sup>2</sup> + .......... + 10<sup>2</sup> ) = 385, then the value of ( 2<sup>2</sup> + 4<sup>2</sup> + 6<sup>2</sup> + .......... + 20<sup>2</sup> ) is equal to = ?

Correct Answer: 1540
( 22 + 42 + 62 + .......... + 202 )
= 22 ( 12 + 22 + 32 + .......... + 102 )
= 4 × 385
= 1540