NEWTON'S FORMULA AND A DIFFERENT VERSION OF LAGRANGE INTERPOLATION
AbstractFinding the nth term of a sequence is one of the most common questions
in Algebra. This article introduces an original and alternative formula
to calculate any term of any degree sequence. The examples are solved by
using this formula first, then the answers are confirmed by using either
Newton's Formula or Lagrange Interpolation Formula. Both the formula and
its proof take advantage of Pascal's triangle.