Tags » Sequences And Series

Summation with Factorials

Problem:
Show that
.

Description:
In sigma notation, we are trying to prove
. Below, we present the same proof with and without sigma notation. 101 more words

Sequences And Series

Shifts, Finite Differences, and Binomial Transforms

The binomial transform of a sequence is the sequence satisfying 

In this post we prove the following:

Theorem: If is the binomial transform of , then  126 more words

Binomial Coefficients