Sequences and Functions Posttest

Front

What is an explicit rule for a sequence?

Back

An explicit rule is a formula that allows you to find the nth term of a sequence directly, without needing to know the previous terms.

Front

What is the domain of a relation?

Back

The domain of a relation is the set of all possible input values (x-values) for which the relation is defined.

Front

How can you determine if a sequence is arithmetic?

Back

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

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 difference in an arithmetic sequence?

Back

The common difference is the constant amount that each term in an arithmetic sequence increases or decreases by.

Front

What is the formula for the nth term of an arithmetic sequence?

Back

The nth term of an arithmetic sequence 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 the formula for the nth term of a geometric sequence?

Back

The nth term of a geometric sequence can be found using the formula: a_n = a_1 * r^(n-1), where a_1 is the first term and r is the common ratio.

Front

What does it mean for a sequence to be neither arithmetic nor geometric?

Back

A sequence is neither arithmetic nor geometric if it does not have a constant difference or a constant ratio between consecutive terms.

Front

How do you identify the range of a relation?

Back

The range of a relation is the set of all possible output values (y-values) that correspond to the input values in the domain.

Front

What is an example of an arithmetic sequence?

Back

An example of an arithmetic sequence is 2, 5, 8, 11, ... (with a common difference of 3).