Affordable Access

Products of natural numbers The American Mathematical Monthly

Journal
The American Mathematical Monthly

Abstract

Summary: 1 - We know that the two sequences (Un) and (Vn) defined in N by: Un = 2n and Vn= 2n +1 are two arithmetic sequences and their sums are respectively: Sn =U0+U1+……+Un = n (n +1) and S'n =V0+V1+……. +Vn = (n +1)2 Our modest work is to calculate the product of the terms of these two arithmetic sequences that is to say, to calculate the two following products: P=2×4×6×........ × (2n) and P` =1×3×5×……..× (2n +1) 2 - The concept of the factorial of a natural number will be used to lead to the formulation of the product of the factorial of integers that will be useful in counting and scientific computing.

There are no comments yet on this publication. Be the first to share your thoughts.