Arithmetic Sequence Practice

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

The nth term can be found using the formula: a_n = a_1 + (n-1)d, where a_1 is the first term and d is the common difference.

Front

What is the formula for the 20th term of the sequence 5, 12, 19, 26?

Back

a_20 = 5 + (20-1)7 = 138.

Front

How do you determine if a sequence is arithmetic?

Back

A sequence is arithmetic if the difference between consecutive terms is the same.

Front

What is the common difference of the sequence 97, 86, 75, 64?

Back

The common difference is -11.

Front

Write the formula for the arithmetic sequence 3, 8, 13, 18.

Back

The formula is a_n = 3 + 5(n-1).

Front

Find the common difference of the sequence -18, -23, -28, -33.

Back

The common difference is d = -5.

Front

Is the sequence 17, 9, 1, -7 arithmetic?

Back

Yes, it is arithmetic because the common difference is -8.

Front

What is the first term of the arithmetic sequence 5, 12, 19, 26?

Back

The first term (a_1) is 5.