Question

What are the similarities between arithmetic and geometric sequences?

Answer 1

Similarities between arithmetic and geometric sequences:

The only similarity between arithmetic and geometric sequence is they follow a pattern.

• In an arithmetic sequence, the next term is obtained by adding or subtracting a common value from the previous term. The common value is called a common difference.

Example: $1,3,5,7,9,....$ is an arithmetic sequence with a common difference of $2$

• In a geometric sequence, the next term is obtained by multiplying or dividing the previous term by the same value. The value is called a common ratio.

Example: $1,5,25,125,625,.....$ is a geometric sequence with a common ratio of $5$