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 whose terms change by adding the same number each time.

Front

What is a geometric sequence?

Back

A geometric sequence is a sequence whose terms change by multiplying the same number each time.

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

How do you find the common ratio in a geometric sequence?

Back

The common ratio is found by dividing any term by the term that precedes it.

Front

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

Back

The formula is a_n = a_1 + (n-1)d, where a_1 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 formula is a_n = a_1 * r^(n-1), where a_1 is the first term and r is the common ratio.

Front

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

Back

The common difference is 4.

Front

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

Back

The common ratio is 3.

Front

What type of sequence is represented by the equation a_n = 5n + 2?

Back

It is an arithmetic sequence.