Sequences, probability, and counting theory

OpenStax

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Introduction to sequences, probability and counting theory

Sequences and their notations

Arithmetic sequences

1 Finding common differences

2 Writing terms of arithmetic sequences

3 Using recursive formulas for arithmetic sequences

4 Using explicit formulas for arithmetic sequences

5 Finding the number of terms in a finite arithmetic sequence

6 Solving application problems with arithmetic sequences

7 Key equations

9 Section exercises

Geometric sequences

Series and their notations

Counting principles

1 Using the addition principle

2 Using the multiplication principle

3 Finding the number of permutations of n Distinct objects

4 Finding the number of permutations of n Distinct objects using the

5 Finding the number of permutations of n Distinct objects using a formula

6 Find the number of combinations using the formula

7 Finding the number of subsets of a set

8 Finding the number of permutations of n Non-distinct objects

9 Key equations

10 Key concepts

11 Section exercises

15 Real-world applications

Binomial theorem

Source: OpenStax, Algebra and trigonometry. OpenStax CNX. Nov 14, 2016 Download for free at https://legacy.cnx.org/content/col11758/1.6

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