Explain how a geometric sequence and an arithmetic sequence are the same. How are they different?

An arithmetic sequence is a sequence with the difference between two consecutive terms constant. The difference is called the common difference.

A geometric sequence is a sequence with the ratio between two consecutive terms constant. This ratio is called the common ratio.

Arithmetic formula

tn = t1 + (n - 1) d

tn is the nth term, t1 is the first term, and d is the common difference.

Geometric formula:

tn = t1. r (n - 1)

tn is the nth term, t1 is the first term, and r is the common ratio.