NTSE 2016 1

Algebra Level 2

If $1^2 + 2^2 + 3^2 + \cdots + 12^2 = 650$ , then find the value of $2^2 + 4^2 + 6^2 + \cdots + 24^2$ .

4225 2600 2500 1300

1 solution

Dev Sharma
Nov 21, 2015

$(2^2 + 4^2 + 6^2 + ..... + 24^2)$

= $(1.2)^{2} + (2.2)^{2} + (3.2)^{2} + .... + (12.2)^{2}$

= $4(1^2 + 2^2 + 3^2 + .... + 12^2)$

= $4.650$ = 2600

How was your NTSE, Dev Sharma?

Akshay Yadav - 5 years, 6 months ago

it was OK... And yours?

Dev Sharma - 5 years, 6 months ago

Same as your's, I found maths, science and MAT easy but SoSc is the one which can sink my ship.

Akshay Yadav - 5 years, 6 months ago

@Akshay Yadav – Same here..SST is the only subject through which My marks will decrease or else SAT & MAT was great!! SAT excluding SST..

Sagar Shah - 5 years, 5 months ago