Sequences

Front

What is a sequence?

Back

A sequence is an ordered list of numbers that follow a specific pattern or rule.

Front

What is an arithmetic sequence?

Back

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

Front

What is a geometric sequence?

Back

A geometric sequence is a sequence 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

How do you find the common difference in an arithmetic sequence?

Back

The common difference is found by subtracting any term from the term that follows it.

Front

What is the formula for the nth term of an arithmetic sequence?

Back

The nth term can be found using the formula: t(n) = a + (n-1)d, where 'a' is the first term and 'd' is the common difference.

Front

What is the formula for the nth term of a geometric sequence?

Back

The nth term can be found using the formula: t(n) = a * r^(n-1), where 'a' is the first term and 'r' is the common ratio.

Front

Identify the common difference in the sequence: 5, 8, 11, 14.

Back

The common difference is 3.

Front

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

Back

The common ratio is 3.

Front

What is the zeroeth term of the sequence: 4, 7, 10, 13?

Back

The zeroeth term is 1.

Front

What are the next three terms in the sequence: 1, 4, 7, 10?

Back

The next three terms are 13, 16, 19.