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Unit 5 - Sequences, Series, and Probability

 

Unit 5: SEQUENCES, SERIES, AND PROBABILITY

By the end of this unit, you should be able to say “I CAN”…

Goal: The students will demonstrate the ability to identify and evaluate arithmetic and geometric sequences and series and identify and solve problems with binomial expansions, counting problems and probability.

 

a. Identify and graph an arithmetic sequence.

b. Write an arithmetic sequence recursively and explicitly.

c. Use summation notation.

d. Find the nth term and the nth partial sum of an arithmetic sequence.

e. Recognize a geometric sequence.

f. Write a geometric sequence recursively and explicitly.

g. Find partial sums of a geometric sequence.

h. Find the sum of an infinite and finite geometric series.

i. Use the Binomial and Pascal’s Triangle to calculate binomial coefficients and expand binomial expressions

j. Use the Fundamental Counting Principle to solve counting problems

k. Use permutations and combinations to solve counting problems

l. Find the probability of an event

m.Find the probabilities of mutually exclusive events

n. Find the probabilities of independent events

o. Find the probability of the complement of an event