Series

Binomial Expansion of (a + b)^n for Positive Integer nSign up

understand and use Pascal's triangle to expand (a + b)^n for small positive integer n · be able to use the binomial theorem to expand (a + b)^n for positive integer n, using the notation nCr (or (n r))

Finding a Specific Term or Coefficient in a Binomial ExpansionSign up

be able to identify and calculate specific terms or coefficients in a binomial expansion without expanding fully

Arithmetic ProgressionsSign up

understand and use the formula for the nth term of an arithmetic sequence: u_n = a + (n - 1)d · be able to use the formula for the sum of the first n terms of an arithmetic series: S_n = n/2 [2a + (n - 1)d]

Geometric Progressions and Sum to InfinitySign up

understand and use the formula for the nth term of a geometric sequence: u_n = a r^(n-1) · be able to use the formula for the sum of the first n terms of a geometric series and the sum to infinity for |r| < 1