Sequences and Series Test

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Sequences and Series Test

Pascals Triangle

Be able to apply pascals triangle to find a particular term in a binomial expansion

What is the 7th term in the expansion of (2a2-3b)10

Be able to produce pascal's triangle

Geometric Sequences and Series

Geometric Series

Be abe to use the formula to find the sum of a series.

What is S100 for the series 100-50+25-12.5+....

Be able to use the "trick" to sum a geometric series

Cole wants to find S6 for the Gemoetric Series 100-50+25-12.5+6.25-3.125 and his extreme exhaustion reuqires him to use a shortcut, rather than add them all together.

Geometric Sequences

Be able to identify a,r and n from a sequence and apply them

example

what is t10 in the geometric sequence 8,4,2,...

Arithmetic Sequences and Series

arithmetic series

Be able to solve for Sn,a,d or n given three using the formula

The sum of the arithmetic series Sn for the series 4,6,8,.... is 304. How many terms are in the series?

Be able to use the formula to find the sum of an arithmetic series

What is S100 for the series 100,98,96,...

be able to use the "trick" to find the sum of a series

Example: Cole wants to use a shortcut to find the sum of the S100 for the series 4+7+10+...+301 and he is too lazy to add it up. How can Cole find the sum using a special trick (not the formula)

arithmetic sequences

Relate recursive and general terms

Example

What is the recursive definition for the sequence 20,10,0,...

Solve for a,d or n given two of them

Identify a,d and n from a sequence

Examples

What is the general term for the sequence with t10=50 and t20=100?

what is the general term for the arithmetic sequence with 3,7,1,...