A Statement Sn About the Positive Integers Is Given $$S _ { n } : 4 + 9 + 14 + \ldots + ( 5 n - 1 ) = \frac { n ( 5 n + 3 ) } { 2 }$$

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.
- $$S _ { n } : 4 + 9 + 14 + \ldots + ( 5 n - 1 ) = \frac { n ( 5 n + 3 ) } { 2 }$$