Geometric Sequences

Front

A sequence of numbers in which the difference between any two consecutive terms is the same.

Back

Arithmetic Sequence

Front

The ratio between two numbers in a geometric sequence.

Back

Common Ratio

Front

A formula that allows direct computation of any term for a sequence a₁, a₂, a₃, ... a_n, ...

Back

Explicit Formula

Front

A sequence of numbers in which the ratio between any two consecutive terms is the same.

Back

Geometric Sequence

Front

What does r represent?

Back

Common ratio

Front

Find the common ratio for the geometric sequence. Options: 10, 1/2, 2, 4

Back

2

Front

What are the next 3 terms in the following geometric sequence: 512, 256, 128, ___, ___, ___, ...

Back

64, 32, 16

Front

Find the common ratio: 64, -16, 4, -1, ...

Back

r = -1/4

Front

Find the common ratio: 4, -16, 64, -256, ...

Back

r = -4

Front

Determine whether the sequence is arithmetic, geometric, or neither.

Back

geometric