Arithmetic Sequence and Series (11.2)

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

How do you find the common difference in an arithmetic sequence?

Back

The common difference can be found by subtracting any term from the subsequent term in the sequence.

Front

What is the explicit formula for an arithmetic sequence?

Back

The explicit formula for an arithmetic sequence is given by a_n = a_1 + (n-1)d, where a_1 is the first term, d is the common difference, and n is the term number.

Front

If the first term of an arithmetic sequence is 5 and the common difference is 3, what is the 10th term?

Back

The 10th term is 32.

Front

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

Back

The next two terms are 16 and 19.

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

Back

The 22nd term is 68.

Front

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

Back

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

Front

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

Back

The common difference is -11.

Front

Which of the following is an example of an arithmetic sequence: 12, 36, 60, 84 or 2, 4, 8, 16?

Back

12, 36, 60, 84 is an arithmetic sequence.