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: 1 ? 2 + 2 ? 3 + 3 ? 4 + . . . + n(n + 1) = 

What will be an ideal response?


S1:1 ? 2 
 
 2 = 2 ?
S2: 1 ? 2 + 2 ? 3 
 
 8 = 8 ?
S3: 1 ? 2 + 2 ? 3 + 3 ? 4 
 20 
 20 = 20 ?

Mathematics

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Mathematics