Arithmetic Sequence as a Linear function

Front

What is an arithmetic sequence?

Back

An arithmetic sequence is an ordered set 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

Determine whether this sequence is an arithmetic sequence: 121, 13, 5, –3. Write yes or no. Explain.

Back

Yes; d = -8.

Front

An arithmetic sequence is an ordered set of numbers that have a __________ between each consecutive term.

Back

common difference.

Front

Determine whether this sequence is an arithmetic sequence: –1.2, 0.6, 1.8, 3.0. Write yes or no. Explain.

Back

No; no common difference.

Front

Find the next three terms of this arithmetic sequence: 82, 76, 70, 64.

Back

58, 52, 46.

Front

Find the 12th term in the sequence 5, 7, 9, 11 ...

Back

27.

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 3 and the common difference is 4, what is the 5th term?

Back

The 5th term is 19.

Front

What happens to the common difference if the terms of an arithmetic sequence are multiplied by a constant?

Back

The common difference remains the same.