Introduction: Fashion Sequence (01:33)
Arithmetic Sequence -- Pyramids (02:13) 
Arithmetic Sequences and Series -- Amphitheater (03:08) 
Geometric Sequences and Series -- Family Tree (02:49)
SEQUENCES AND SERIES
As we come to the final few units
in this course, we will examine mathematical topics that later become the basis
for the study of Calculus. Calculus is sometimes called the “Mathematics of
Change”. In the study of this discipline, it is important to note that the idea
of change is towards a specific goal; such as, a final value or a specific
function. In our units on exponential and logarithms, we used a couple of these
techniques. First we used the procedure of “successive approximations” and the
calculator to obtain an approximate value for an equation such as “17 = 5^x” to estimate a value for “x” as an exponent to within a desired
degree of decimal accuracy. In the last unit we briefly introduced the idea of
a “limit” to evaluate the numerical value of the base “e” from the expression: “e
= (1+(1/n))^n as “n” approaches infinity.
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| Introduction: Fashion Sequence (01:33) |
|
| Arithmetic Sequence -- Pyramids (02:13) |
|
| Arithmetic Sequences and Series -- Amphitheater (03:08) |
|
| Geometric Sequences and Series -- Family Tree (02:49) |
|
 |
| Sequences and Series |
| Arithmetic Sequences and Series |
| Geometric Sequences and Series |