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Chapter 11: Discrete Mathematics: Series
and Patterns (pp. 688 – 761)
It is the goal of the instructor that the students will:
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derive an explicit, implicit, or
recursive formula for a sequence
·
convert a series to summation
notation, and a vice versa
·
memorize and apply summation
algebra to compute the sum of a series
·
identify an arithmetic
sequence/series and its common difference and initial term
·
identify a geometric
sequence/series and its common ratio and initial term
·
calculate an arithmetic or
geometric mean
·
memorize and evaluate the formulas
to find the sum of an arithmetic or geometric series
·
prove a mathematical property using
mathematical induction
·
identify whether an infinite
geometric series converges or diverges
·
identify and apply the patterns
found in Pascal’s Triangle to two-outcome experiments and the Binomial Theorem
·
expand or find the nth term of a binomial applying the
Binomial Theorem |
Homework |