Arithmetic Sequence

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 that each term in the sequence increases or decreases by.

Front

Is the sequence arithmetic: 37, 31, 25, 19, ...?

Back

Yes, the common difference is -6.

Front

Is the sequence arithmetic: -3, 3, -3, 3, ...?

Back

No, the difference is not constant.

Front

Find the next three terms in the arithmetic sequence: 9, 19, 29, 39, ...

Back

The next three terms are 49, 59, 69.

Front

Find the common difference: 29, 21, 13, 5, ...

Back

The common difference is d = -8.

Front

Find the common difference: 1, 201, 401, 601, ...

Back

The common difference is d = 200.

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 formula for 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

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.