Question

Prove by mathematical induction sum of even numbers

Answer 1

Answer:

even numbers are

0,2,4,6,8,......

Their sum is 0+2+4+6+8+......

that will be 2+4+6+8+10.....

(if we common 2 we get)that is

2(1+2+3+4+5+6+7+8+.....)

[we know that 1+2+3+4+5+...is sum of natural numbers ]

• we know 2(n×(n+1))whole divided by 2

n(n+1)