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 the sequence 3, 7, 11, 15?

Back

The common difference is 4.

Front

What are the next two terms of the sequence 4, 7, 10, 13?

Back

The next two terms are 16 and 19.

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 32nd term of the sequence 9, 4, -1, -6, -11?

Back

The 32nd term is -146.

Front

Write the explicit equation for the sequence 25, 21, 17, 13.

Back

The explicit equation is a_n = -4n + 29.

Front

What is the first term of the arithmetic sequence 5, 8, 11, 14?

Back

The first term is 5.

Front

If the common difference is 3, what is the 10th term of the sequence starting with 2?

Back

The 10th term is 29.

Front

What is the formula for the common difference in an arithmetic sequence?

Back

The common difference d = a_n - a_(n-1), where a_n is the nth term and a_(n-1) is the previous term.

Front

Identify the common difference in the sequence 10, 7, 4, 1.

Back

The common difference is -3.