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 a geometric sequence?

Back

A geometric sequence is a sequence 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 ratio in a geometric sequence?

Back

The common ratio is the factor by which we multiply each term to get the next term in a geometric sequence.

Front

What is the next term in the sequence 256, 128, 64, 32, ...?

Back

16

Front

What operation is used to find the next term in the sequence -2, 2, -2, 2, ...?

Back

Multiply by -1.

Front

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

Back

64 (multiply by 2).

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 next term in the series 4, 16, 64?

Back

256.

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.