Arithmetic Sequences and Series

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

How do you find the nth term of an arithmetic sequence?

Back

Front

If the first term of an arithmetic sequence is 5 and the common difference is 3, what is the 10th term?

Back

Front

What is the sum of the first n terms of an arithmetic sequence?

Back

Front

What is the common difference in the sequence {48, 32, 16, 0, ...}?

Back

The common difference is -16.

Front

For an arithmetic sequence with a common difference of 4 and the 30th term equal to 57, what is the rule for the nth term?

Back

Front

Which type of sequence has a common difference?

Back

An arithmetic sequence has a common difference.

Front

Given the first three terms of an arithmetic sequence {½, ¾, 1, ...}, what are the fourth and fifth terms?

Back

The fourth and fifth terms are 5/4 and 3/2.

Front

What is the common difference of the arithmetic sequence -6, -1, 4, 9...?

Back

The common difference is 5.