Question

What is a simple formula to solve a math sequence? Or a couple formulas if possible? Thanks!

Answer 1

2 normal types of sequences:

1. arythmetic sequences: each term is the same distance to the next term, example, 2,4,6,8, distance is 2

2. geometric sequences: the ratio of consecutive terms is the same, example: 2,4,8,16, ratio is 4:2=2:1, 2/1=2


the nth term is denoted by $a_{n}$
the first term is represented by $a_{1}$

for arythmetic sequences, the nth tem is
$a_{n}=a_{1}(n-1)d$ where d=distance between each term

for geometric sequences the nth term is
[tex] a_{n}=a_{1}r^{n-1} where r=ratio betwen consecutive terms