Chapter 11: Sequences and Series

 

 

Arithmetic

Note:

Sequence

Arithmetic Sequence

Series
(Find the sum)

When you know the first and last term.

 

 

When you know the first term and the common difference.

 

 

Geometric

Note:

Sequence

Geometric Sequence

Series

(Find the sum)

A finite Geometric Series (a limited number of terms, or Partial Sum)

 

An infinite Geometric Series, if our infinite series is convergent

(| r | < 1)

 

Binomial Expansion

 

To find all terms in a Binomial Expansion, use:

=

 

To find the rth term of a binomial expansion raised to the nth power, use the following formula: