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Question

The sum nk=11+2++k is a polynomial in n. The degree of the polynomial is 
  1. 1
  2. 2 
  3. 3 
  4. 4 


Solution

The correct option is C 3 
nk=11+2++k
=nk=1k(k+1)2
=12(nk=1k2+nk=1k)

=12(n(n+1)(2n+1)6+n(n+1)2)
which is a polynomial of degree 3.

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