- The sum, from
*i*=*a*to*i*=*b*, of a constant*c*is*c*(*b*−*a*+ 1). - The sum, from
*i*=*a*to*i*=*b*, of*i*itself is (*a*+*b*)(*b*−*a*+ 1)/2. - The sum, from
*i*=*a*to*i*=*b*, of*i*^{2}is (2*a*^{2}2*a**b*+ 2*b*^{2}+*b*−*a*)(*b*−*a*+ 1)/6. - The sum, from
*i*=*a*to*i*=*b*, of*i*^{3}is (*a*^{2}+*b*^{2}+*b*−*a*)(*a*+*b*)(*b*−*a*+ 1)/4.

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