Arithmetic Sequences

Front

What is an arithmetic sequence?

Back

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant.

Front

What is the common difference in an arithmetic sequence?

Back

The common difference is the fixed amount added to each term to get the next term in the sequence.

Front

Identify the common difference in the sequence: 2, 5, 8, 11, ...

Back

The common difference is 3.

Front

What is the explicit formula for an arithmetic sequence?

Back

Front

What is the recursive formula for an arithmetic sequence?

Back

Front

Classify the sequence: 4, 8, 12, 16, ...

Back

Arithmetic with a common difference of 4.

Front

Classify the sequence: 3, 6, 12, 24, ...

Back

Geometric with a common ratio of 2.

Front

What is the 10th term of the arithmetic sequence: 5, 10, 15, ...?

Back

The 10th term is 50.

Front

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

Back

Front

What is the difference between an explicit and a recursive formula?

Back

An explicit formula gives the nth term directly, while a recursive formula defines each term based on the previous term.