Interview Question: Natural Sums

Sample Question #45 (mathematics – algebra)

Let be a natural number. Give the reduced expression for the following:

   (1) 1+2+3+…+n

   (2) 1+22+32+…+n2

   (3) 1+23+33+…+n3

   (4) 1+2k+3k+…+nk, where k is another natural number.

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