Sequences

Front

What is a sequence in mathematics?

Back

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

Front

What is the rule for the sequence: 2, 4, 6, 8, 10, 12, 14?

Back

Add 2.

Front

Describe the relationship between the terms in the sequence: 1, 3, 5, 7, ...

Back

Add 2.

Front

What is the rule for the sequence: 18, 15, 12, 9, 6, 3, 0?

Back

Minus 3.

Front

Describe the relationship between the terms in the sequence: 6, 12, 18, 24, ...

Back

Add 6.

Front

What is the missing number in the sequence: 58, 51, 44, ......., 30?

Back

37.

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 the sequence: 5, 10, 15, 20?

Back

The common difference is 5.

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

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.