HL AA -Series and Expansions

Arithmetic Series

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Understand the term arithmetic sequence.

Understand the term geometric sequence.

Find the nth term of an arithmetic sequence.

Find the sum of n terms of an arithmetic series.

Find common differences and problem solve with arithmetic sequence and series.

Find the nth term of a geometric sequence.

Find the sum of n terms of a geometric series.

Find common differences and problem solve with geometric sequence and series.

Find the infinite sum of a geometric series.

Use the sigma sign for sums of both arithmetic and geometric series.

Use series to apply to compound interest problems.

Understand, use and generate Pascal’s triangle with and without a GDC.

Expanding a bracket such as (ax+b)n, where n>2.

Problem solving with binomial expansions, including finding terms and constants (independent) terms.

Extending binomial expansions for fractional and negative powers.

Counting permutations and combinations.