A statement Sn about the positive integers is given. Write statements S1, S2, and S3, and show that each of these
statements is true.
-$$S _ { n } : 4 + 9 + 14 + \ldots + ( 5 n - 1 ) = \frac { n ( 5 n + 3 ) } { 2 }$$

Question

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The Answer of A statement Sn about the positive integers is given. Write statements S1, S2, and S3, and show that each of these
statements is true.
-$$S _ { n } : 4 + 9 + 14 + \ldots + ( 5 n - 1 ) = \frac { n ( 5 n + 3 ) } { 2 }$$

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

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