| Finite
Sequences
This is an interesting
section. If you had Mr. Ford for Algebra II, then you may have done a section
similar to this for your independent study, however, this section is much
more in-depth and covers new items. It consists of three parts; Arithmetic
and Geometric Sequences, Recursive Definitions, and Arithmetic and Geometric
Series and Their Sums. Arithmetic and Geometric Sequences teaches you what
these sequences are, the basic equation for both types, and the definition
of a sequence. Recursive Sequences rely on the initial condition so that
you can find the next term. You also find out what a Recursive Definition
is and what an Explicit Definition is. Finally, you get to Arithmetic and
Geometric Series and Their Sums. Here, you will learn what a series is.
Keep in mind, a series is much different than a sequence and the two terms
should not be confused. You also learn the equation so that you can find
the sum of a finite arithmetic series and the sum of a finite geometric series.
This is important and time saving since you don�t have to go through n number
of terms to find the sum. You just plug in a few numbers and away you go.
Next it's on to INFINITE sequences and series. Oh, before you go there,
ask Mr. Ford about the Fibonacci sequence and the sequence O, T, T, F, F,
S, S, E, N, T. These are are very tricky, so beware!
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