Arithmetic and Geometric Sequences Review

Front

What is an arithmetic sequence?

Back

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant. This difference is called the common difference (d). For example, in the sequence 2, 5, 8, 11, the common difference is 3.

Front

What is a geometric sequence?

Back

A geometric sequence is a sequence of numbers where each term after the first is found by multiplying the previous term by a fixed, non-zero number called the common ratio (r). For example, in the sequence 3, 6, 12, 24, the common ratio is 2.

Front

How do you find the nth term of an arithmetic sequence?

Back

Front

How do you find the nth term of a geometric sequence?

Back

Front

What is the common difference in the sequence 4, 7, 10, 13?

Back

The common difference (d) is 3, as each term increases by 3.

Front

What is the common ratio in the sequence 2, 6, 18, 54?

Back

The common ratio (r) is 3, as each term is multiplied by 3 to get the next term.

Front

Back

The first three terms are 7, 12, and 17.

Front

What is the 8th term in the sequence 3, 9, 27, 81, ...?

Back

The 8th term is 6,561.

Front

Identify whether the sequence 4, 9, 14, 19 is arithmetic, geometric, or neither.

Back

The sequence is arithmetic.

Front

Given the sequence 30, 60, 120, 240, identify the first term and the common ratio.

Back

The first term is 30 and the common ratio is 2.