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 the common difference in an arithmetic sequence?

Back

The common difference is the constant amount that is added to each term to get the next term.

Front

What is the common ratio in a geometric sequence?

Back

The common ratio is the constant factor by which each term is multiplied to get the next term.

Front

How do you find the next term in an arithmetic sequence?

Back

Add the common difference to the last term.

Front

How do you find the next term in a geometric sequence?

Back

Multiply the last term by the common ratio.

Front

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

Back

The nth term can be found using the formula: 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 nth term can be found using the formula: a_n = a_1 * r^(n-1), where a_1 is the first term and r is the common ratio.

Front

Identify the sequence: 5, 10, 15, 20...

Back

This is an arithmetic sequence with a common difference of 5.

Front

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

Back

This is a geometric sequence with a common ratio of 2.

Front

What is the previous term for the sequence: 10, 20, 30...?

Back

The previous term is 0.