Test Prep: Sequences

Front

What is a sequence in mathematics?

Back

A sequence is an ordered list of numbers that follow a specific pattern or rule.

Front

What is the common difference in an arithmetic sequence?

Back

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

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

Given the sequence: 5, 8, 11, ..., what is the common difference?

Back

The common difference is 3.

Front

Find the 22nd term of the sequence: 5, 8, 11, ...

Back

The 22nd term is 68.

Front

What is the explicit formula for the sequence: 25, 21, 17, 13,...?

Back

The explicit formula is a_n = -4n + 29.

Front

Identify the common difference in the sequence: 3, 7, 11, 15,...

Back

The common difference is 4.

Front

What is the 32nd term of the sequence: 9, 4, -1, -6, -11,...?

Back

The 32nd term is -146.

Front

What does 'arithmetic sequence' mean?

Back

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant.

Front

If the first term of an arithmetic sequence is 10 and the common difference is 2, what is the 5th term?

Back

The 5th term is 18.