Taylor Series In mathematics, a Taylor series is a representation of a function as an infinite sum of terms that are calculated from the value. Here's an animation which really helps students understand what is happening behind the numbers.
Fourier series square wave circles animation - Fourier series - Wikipedia, the free encyclopedia
A Sequence is the list of numbers written in a particular order following a pattern. A Series is the sum of the list of the numbers written in the specific order in a sequence. The sequence and series can have numbers extending up till infinity and they are called infinite sequence and infinite series.
An infinite series is a sum of an infinite number of terms. Of course, the indexing can start at any integer, but by the most common starting indices are 0 0 and 1 1 . Regarding the second summation notation, of course there is no "infinity-th" term, as infinity is an not an integer; however, the notation is a convenient way for us to say that we take the summation over all natural numbers. ... See more at expii.
This activity is designed to help your Pre-Calculus Honors or College Algebra students evaluate sequences and series in an end-unit review for Discrete Mathematics. There are 24 task cards in the activity. Students will find recursive and explicit forms of sequences, find the sum of finite and infinite series, determine convergent and divergent series, find nth terms, partial sums, P(K+1) term for induction proofs, and more.