Arithmetic Sequences

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 added to each term to get the next term in the sequence.

Front

Find the next two terms of the sequence: 4, 7, 10, 13.

Back

16 and 19.

Front

What is the explicit formula for the n^th term of an arithmetic sequence?

Back

The explicit formula is a_n = a₁ + (n - 1)d, where a₁ is the first term and d is the common difference.

Front

Given the sequence 2, 9, 16, 23, what is the explicit formula for the n^th term?

Back

a_n = 2 + 7(n - 1).

Front

Which of the following is an arithmetic sequence: 6, 11, 16, 21 or 3, 15, 75, 375?

Back

6, 11, 16, 21 is an arithmetic sequence.

Front

What is the formula for the n^th term of the sequence: 6, 11, 16, 21?

Back

a_n = 6 + 5(n - 1).

Front

Identify the common difference in the sequence: 5, 12, 19, 26.

Back

The common difference is 7.

Front

How do you find the 20^th term in an arithmetic sequence?

Back

Use the explicit formula a_n = a₁ + (n - 1)d.

Front

What is the 20^th term of the sequence: 5, 12, 19, 26?

Back

138.