Question

Use mathematical induction to prove that the statement is true for every positive integer n. Show your work
2 is a factor of n2 - n + 2

Answer 1

so 2 ^2-2+2 = 4?

Answer 2

or take comon out

Answer 3

2n(n+2)?

Answer 4

you want to show that 2 divides n^2 -n + 2

Answer 5

for any integer n (positive integer)

Answer 6

basis case is when n=1
does 2 divide 1^2 - 1 + 2 =
why yes, 2 divides 2

Answer 7

now you need to show that if its true for some number n=k, then it is true for n=k+1