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

Front

What is the explicit formula for the arithmetic sequence 2, 5, 8, 11, ...?

Back

Front

Find the 6th term of the arithmetic sequence: 3, 7, 11, ...

Back

The 6th term is 15.

Front

If the first term of an arithmetic sequence is 10 and the common difference is 4, what is the 10th term?

Back

The 10th term is 46.

Front

What is the formula to find the sum of the first n terms of an arithmetic sequence?

Back

Front

Find the next three terms in the arithmetic sequence: 1, 4, 7, 10, ...

Back

The next three terms are 13, 16, 19.

Front

What is the common difference in the sequence: -5, -2, 1, 4, ...?

Back

The common difference is +3.

Front

Write the explicit equation for the sequence: 7, 10, 13, ...

Back