Arithmetic Sequences and Formulas

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 that each term increases or decreases by in an arithmetic sequence.

Front

Write the explicit formula for an arithmetic sequence.

Back

The explicit formula is a(n) = a(1) + (n - 1)d, where a(1) is the first term and d is the common difference.

Front

What is the recursive formula for an arithmetic sequence?

Back

The recursive formula is a(n) = a(n - 1) + d, with a(1) as the first term.

Front

Identify the common difference in the sequence: 5, 10, 15, 20.

Back

The common difference is 5.

Front

Identify the first term in the sequence: 3, 7, 11, 15.

Back

The first term is 3.

Front

What is each number in a sequence called?

Back

Each number in a sequence is called a term.

Front

Find the common difference in the sequence: 12, 9, 6, 3.

Back

The common difference is -3.

Front

If the first term of an arithmetic sequence is 2 and the common difference is 4, what is the 5th term?

Back

The 5th term is 18.

Front

What is the formula to find the nth term of an arithmetic sequence?

Back

The nth term can be found using a(n) = a(1) + (n - 1)d.