Sequences and Series

Define a sequence

List of numbers with pattern

Arithmetic vs. Geometric Sequence

Arithmetic sequence= constant difference (adding same thing every time, so what is the multiplication factor?)

Geometric sequence= constant ratio (multiplying by same thing every time, so what is to a power?)

Diverge vs. Converge

Divergent=±∞ or oscillates between values

Converges=does not fit criteria for diverges (approaches specific value)

How do you see what a sequence converges to at ∞ (categories)?

1. Rational

2. Polynomial

3. Radical, Trig, Log, Exponential

4. L’Hop (if easy)