Asked by Hello

A statement Sn about the positive integers is given. Write statements S1, S2, and S3, and show that each of these statements is true.
Sn:   2 is a factor of n2 + 7n

Could you please show your work? I want to know how to solve.
Answered by Steve
Just substitute in values for n:

Sn: 2 is a factor of n^2+7n

S1: 2 is a factor or 1^2+7*1
S2: 2 is a factor of 2^2+7*2
S3: 2 is a factor of 3^2+7*3

Now just show that each is true.