#4.6 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

Find the common difference of the sequence: 2, 5, 8, 11.

Back

3

Front

Write the formula for the nth term of an arithmetic sequence.

Back

The formula is a_n = a_1 + (n - 1)d, where a_1 is the first term and d is the common difference.

Front

Given the sequence 10, 15, 20, 25, what is the 10th term?

Back

The 10th term is 55.

Front

What is the 22nd term of the sequence: 5, 8, 11, ...?

Back

68

Front

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

Back

16 and 19.

Front

Write the formula a_n = dn + c for the sequence 2, 8, 14, ...

Back

a_n = 6n - 4.

Front

Given the sequence 5, 9, 13, 17, write the equation.

Back

a_n = 4n + 1.

Front

Find the common difference of the sequence: 3, 5.5, 8, 10.5.

Back

2.5.