A statement Sn about the positive integers is given. Write statements S1, S2, and S3, and show that each of these statements is true. Show your work.

Question

Sn:   2 is a factor of n^2 + 7n

Answer 1

S1:
2 | 1^2 + 7*1
2 | 1+7
2 | 8
true

do likewise for n=2,3