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 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

Find the next two terms in the sequence: 12.7, 19.2, 25.7, 32.2...

Back

38.7 and 45.2

Front

Find the next three terms in the arithmetic sequence: 25, 34, 43, 52, ...

Back

61, 70, 79

Front

What is the rule for the sequence: 103, 107, 111, 115, 119, 123?

Back

Add 4.

Front

What is the missing number in this sequence: 4, 8, 12, ..., 20?

Back

16

Front

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

Back

Add 2.

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.