Unit 6 - Sequences and Series

arithmetic sequence

a_n = a + (n-1)d

geometric sequence

a_n= a(r)^n-1

partial sum of arith sequence

Sn = n(a+an/2)

partial sum of geo sequence

Sn = a(1-r^n)/1-r

infinite sum of geo

if r less than one, a/1-r, if greater than one then it diverges