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 (d) is the fixed amount that each term increases or decreases by in an arithmetic sequence.

Front

Find the next two terms of the sequence: 2, 5, 8, 11.

Back

14 and 17.

Front

How do you find the common difference in the sequence: 10, 7, 4, 1?

Back

The common difference is d = -3.

Front

Write the explicit formula for the arithmetic sequence: 3, 6, 9, 12.

Back

a_n = 3n.

Front

What is the nth term formula for an arithmetic sequence?

Back

a_n = a_1 + (n-1)d, where a_1 is the first term and d is the common difference.

Front

Given the sequence: 15, 10, 5, 0, ..., what is the common difference?

Back

d = -5.

Front

Find the next three terms in the arithmetic sequence: 20, 25, 30, 35.

Back

40, 45, 50.

Front

If the first term of an arithmetic sequence is 7 and the common difference is 2, what is the 5th term?

Back

The 5th term is 17.

Front

What is the distance between terms in an arithmetic sequence called?

Back

Common difference.