Arithmetic and Geometric Sequences

Front

What is an arithmetic sequence?

Back

A sequence of numbers in which the difference between consecutive terms is constant.

Front

What is a geometric sequence?

Back

A sequence of numbers in which each term after the first is found by multiplying the previous term by a fixed, non-zero number called the common ratio.

Front

What is the common difference in an arithmetic sequence?

Back

The constant amount that each term increases or decreases by from the previous term.

Front

What is the common ratio in a geometric sequence?

Back

The fixed number that each term is multiplied by to get the next term.

Front

Identify the common difference in the sequence: 3, 7, 11, 15...

Back

4

Front

Identify the common ratio in the sequence: 2, 6, 18, 54...

Back

3

Front

What is the next term in the arithmetic sequence: 5, 10, 15, 20...?

Back

25

Front

What is the next term in the geometric sequence: 4, 12, 36, 108...?

Back

324

Front

If the first term of an arithmetic sequence is 2 and the common difference is 3, what is the 5th term?

Back

14

Front

If the first term of a geometric sequence is 1 and the common ratio is 2, what is the 4th term?

Back

8