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A Statement Sn About the Positive Integers Is Given Sn:3+8+13++(5n2)=n(5n+1)2S _ { n } : 3 + 8 + 13 + \ldots + ( 5 n - 2 ) = \frac { n ( 5 n + 1 ) } { 2 }

Question 186

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.
- Sn:3+8+13++(5n2)=n(5n+1)2S _ { n } : 3 + 8 + 13 + \ldots + ( 5 n - 2 ) = \frac { n ( 5 n + 1 ) } { 2 }

Correct Answer:

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\[\begin{array} { l }
S _ { k } : 3 + 8...

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