Chapter 10 Sequence and Series
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Recursions
formula is determined by one or more of the previous terms
Summation notation
n= (top # - bottom #)+1 a1=plug bottom # into equation an=plug top # into equation r=# with exponent (ex: (4)², r=4
Iterations
process of repeatedly composing functions x₀=6, f(x)=-3x+8 x₁=-3(6)+8=-10 x₂=-3(-10)+8=38
Infinite series formula
r has to be less than one or else it doesn't have a sum
Arithmetic sequence
when a pattern is added by the same number. It has a common difference "d" Ex: 3, 7, 11, 15 d=4
Geometric sequence
when a pattern is multiplied by the same number. Has a common ratio "r" Ex: 1, 2, 4, 8, 16 r=2
Geometric mean formula
√xy
Arithmetic mean formula
(x+y)/2
