Question

Please answer with explanation!

Answer 1

Answer:

Step-by-step explanation:

Prove that n(n+1) is even using induction

The base case of n=1 gives us 2 which is even.

Assuming n=k is true,

n=(k+1) gives us k2+2k+k+2

while k(k+1)+(k+1) gives us k2+2k+1.

whats is the next step to prove this by induction? I can't seem to show

k2+2k+k+2 = k2+2k+1