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 added to each term to get the next term in the 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

Given the sequence 34, 37, 40, 43, what is the common difference?

Back

The common difference is 3.

Front

What is the formula for the nth term of the sequence 2, 8, 14, ...?

Back

The formula is a_n = 6n - 4.

Front

What are the next three terms of the sequence 6, 11, 16, 21?

Back

The next three terms are 26, 31, 36.

Front

How do you calculate the 22nd term of the sequence 5, 8, 11, ...?

Back

Using the formula a_n = a_1 + (n-1)d, the 22nd term a_22 = 5 + (22-1)3 = 68.

Front

Identify the equation for the sequence 7, 11, 15, 19 ...

Back

The equation is a_n = 4n + 3.

Front

What is the first term of an arithmetic sequence?

Back

The first term is denoted as a_1.

Front

If the first term is 10 and the common difference is 5, what is the 5th term?

Back

The 5th term is a_5 = 10 + (5-1)5 = 30.