A Symbolic Differentiation_Summation Framework for Power Sums of Arithmetic Sequences

Ahmed Abdlmohsin Abdlsahib

We give a self-contained derivation of the closed form of the power sums $S_m(n)={\sum }_{i=1}^n(a_0+(i-1)d{)}^m$ in which the Bernoulli numbers enter as constants of integration rath…