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 of numbers in which the difference between consecutive terms is constant.

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.

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 an arithmetic sequence.

Front

What is the common ratio in a geometric sequence?

Back

The common ratio is the fixed number that each term is multiplied by to get the next term in a geometric sequence.

Front

What is the next number in the sequence: 2, 4, 8, 16, 32...?

Back

64 (The rule is to multiply by 2.)

Front

What is the next number in the sequence: 7, 9, 11, 13...?

Back

15 (The rule is to add 2.)

Front

What is the next number in the sequence: 6, 12, 18, 24...?

Back

30 (The rule is to add 6.)

Front

How do you find 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

How do you find 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.