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| College
algebra contents G
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| Sequences
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Arithmetic
sequence or progression
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General term of an arithmetic
sequence
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The sum of the first n terms of an
arithmetic sequence |
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The sum of the first n natural
numbers |
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Arithmetic
sequences, examples
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Geometric
sequence or progression |
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General term of a geometric
sequence
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The sum of the first n terms of a finite geometric
sequence, geometric series |
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Geometric sequences examples
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Recursive definition and the
recursion formula |
| Series
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Finite and infinite, convergent and
divergent series |
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Geometric series
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The sum of an infinite geometric
sequence, infinite geometric series |
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The sum of an infinite converging geometric series, examples
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Converting recurring decimals
(infinite decimals) to fraction
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Mathematical Induction and
Binomial Theorem |
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Mathematical
Induction
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Mathematical
induction examples
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The
Binomial Theorem
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Factorial
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Binomial coefficients and
Pascal's triangle |
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The
binomial theorem, sigma notation and binomial expansion
algorithm |
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The binomial theorem and binomial expansion algorithm examples |
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Combinatorics and
Probability |
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Permutations,
Combinations and Variations |
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Permutations
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Permutations
of n objects some of which are the same |
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Combinations
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Combinations with repetition
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Variations or permuted
combinations (permutations without repetition) |
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Variations with repetition (or permuted combinations with repetition) |
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Probability
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Probability
definition, terms
and notation |
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Sample space, event |
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Probability formula |
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The probability of
mutually exclusive events |
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The probability of not
mutually exclusive events |
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The
probability of two independent events |
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The probability of two
dependent events |
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Calculating
probabilities, examples |
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| College
algebra contents |
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