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 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

Is the sequence 2, 5, 8, 11 an arithmetic sequence? If so, what is the common difference?

Back

Yes, it is an arithmetic sequence with a common difference of 3.

Front

Determine if the sequence 10, 20, 30, 40 is arithmetic and state the common difference.

Back

Yes, it is arithmetic with a common difference of 10.

Front

What is the first term of the arithmetic sequence -5, -2, 1, 4?

Back

The first term is -5.

Front

Write the next three terms in the arithmetic sequence 4, 7, 10, 13.

Back

The next three terms are 16, 19, 22.

Front

Solve for x: 2x + 3 = 11.

Back

x = 4.

Front

If the first term of an arithmetic sequence is 3 and the common difference is 2, what is the 5th term?

Back

The 5th term is 11.

Front

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

Back