Sequences - Explicit Formulas

Front

What is an explicit formula for a sequence?

Back

An explicit formula is a mathematical expression that defines the nth term of a sequence directly in terms of n.

Front

Write the explicit formula for the sequence: 15, 22, 29, 36, 43, ...

Back

Front

How can you determine if a sequence is arithmetic?

Back

A sequence is arithmetic if the difference between consecutive terms is constant.

Front

Determine if the sequence -3, -6, -12, -24, ... is arithmetic or geometric.

Back

Geometric.

Front

What is the common ratio in a geometric sequence?

Back

The common ratio is the factor by which each term is multiplied to get the next term.

Front

Write the explicit formula for the sequence: 9, 5, 1, -3, ...

Back

Front

How can you determine if a sequence is geometric?

Back

A sequence is geometric if the ratio between consecutive terms is constant.

Front

Determine if the sequence 6, 30, 150, 750, ... is arithmetic or geometric.

Back

Geometric.

Front

What is the explicit formula for the sequence: 80, 20, 5, 1.25, ...?

Back

Front

Back

The first term is 15.