Chapter 6: Patterns, Sequences, and Series

means the sum of the first n terms of a sequence This is read as 'the sum of all the terms u; from i = 1 to i = n' Topic 6.5

Arithmetic Series The sum of the terms of an arithmetic sequence is called an arithmetic series You can find the sum of the first n terms of an arithmetic series using the formula

Topic 6.6

Geometric Series The sum of the terms of a geometric sequence is called a geometric sequence You can find the sum of the first n terms of a geometric series using the formula

For a geometric series with lrl Topic 6.9

Pascals Triangle and the Binomial Expansion (;) or Cf represents the number of ways n items can be taken rat a time The number of combinations of n items taken rat a time is found by