A Statement Sn About the Positive Integers Is Given $$S _ { n } : 2 \text { is a factor of } n ^ { 2 } + 11 n$$

Essay

A statement Sn about the positive integers is given. Write statements S1, S2, and S3, and show that each of these
statements is true.
- $$S _ { n } : 2 \text { is a factor of } n ^ { 2 } + 11 n$$ A statement Sn about the positive integers is given. Write statements Sk and Sk+1, simplifying Sk+1 completely.