Friday, April 18, 2014
Wednesday, April 2, 2014
Monday, March 31, 2014
Thursday, March 20, 2014
Linear Programming
Monday, March 10, 2014
Wednesday, March 5, 2014
Graphing Exponential Growth/Decay
Graphing Exponential Growth/Decay
Define : Any quantity that grows or decays by a fixed
percent at regular intervals is said to possess exponential growth or
exponential decay.

| Example: | ![]() |
when a > 0 and the b is between 0 and 1, the graph will be decreasing (decaying).
For this example, each time x is increased by 1, y decreases to one half of its previous value.


Such a situation is called Exponential Decay.

| Example: | ![]() |
when a > 0 and the b is greater than 1, the graph will be increasing (growing).
For this example, each time x is increased by 1, y increases by a factor of 2.


Such a situation is called Exponential Growth.
Tuesday, February 25, 2014
Monday, February 17, 2014
General Forms of a Sequence
General Forms of a Sequence
Define :A sequence is an ordered list of numbers. The sum of the terms of a sequence is called a series.
• Each number of a sequence is called a term (or element) of the sequence.
• A finite sequence contains a finite number of terms (you can count them). 1, 4, 7, 10, 13
• An infinite sequence contains an infinite number of terms (you cannot count them). 1, 4, 7, 10, 13, . . .
• The terms of a sequence are referred to in the subscripted form shown below,
where the natural number subscript refers to the location (position) of the term in the sequence.
• A finite sequence contains a finite number of terms (you can count them). 1, 4, 7, 10, 13
• An infinite sequence contains an infinite number of terms (you cannot count them). 1, 4, 7, 10, 13, . . .
• The terms of a sequence are referred to in the subscripted form shown below,
where the natural number subscript refers to the location (position) of the term in the sequence.
(If you study computer programming languages such as C, C++, and Java,you will find that the first position in their arrays (sequences) start with a subscript of zero.)
• The general form of a sequence is represented: 

• The domain of a sequence consists of the counting numbers 1, 2, 3, 4, ...
and the range consists of the terms of the sequence.
and the range consists of the terms of the sequence.
• The terms in a sequence may, or may not, have a pattern, or a related formula.
Compound Interest Formula
Compound Interest Formula
Define : interest calculated on both the principal and the accrued interest. For example
As an example, suppose an amount of 1500.00 is deposited in a bank paying an annual interest rate of 4.3%, compounded quarterly. Then the balance after 6 years is found by using the formula above, with P = 1500, j = 0.043 (4.3%), m = 4, and t = 6.
Wednesday, January 29, 2014
Arithmetic and Geometric Sequences
Formula for Arithmetic
and Geometric
Arithmetic : mathematics, an arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference beIn tween the consecutive terms is constant. For instance, the sequence 5, 7, 9, 11, 13, 15 … is an arithmetic progression with common difference of 2.
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