Method of Successive Differences. Following are excerpts from a bulletin board, called the mathboard on the xbook.info website. In this thread of conversation between myself and "J J", a Socratic dialog emerges, in which the method of finding the coefficients of an "black box" polynomial is revealed. This free number sequence calculator can determine the terms (as well as the sum of all terms) of an arithmetic, geometric, or Fibonacci sequence. Explore many other math calculators, as well as hundreds of other calculators addressing health, fitness, finance, math, and more. successive differences of powers on daily maths. Write down the square series. 0, 1, 4, 9, 16, 25, 36, 49, 64 Take the successive difference of the square series. In mathematics, an arithmetic sequence, also known as an arithmetic progression , is a sequence of numbers such that the difference of any two successive. So the 2nd successive differences are constant(!) and equal to 2. you use the calculation of successive differences to determine the order of the polynomial!. This free number sequence calculator can determine the terms (as well as the is a number sequence in which the difference between each successive term.