A statement Sn about the positive integers is given. Write statements Sk and Sk+1, simplifying Sk+1 completely.Sn: 1 ? 2 + 2 ? 3 + 3 ? 4 + . . . + n(n + 1) = 

What will be an ideal response?


Sk: 1 ? 2 + 2 ? 3 + 3 ? 4 + . . . + k(k + 1) = 
Sk+1: 1 ? 2 + 2 ? 3 + 3 ? 4 + . . . + (k + 1)(k + 2) = 

Mathematics

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A.
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