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 that each term increases or decreases by in an arithmetic sequence.

Front

If the first term of an arithmetic sequence is 5 and the common difference is 3, what is the 4th term?

Back

The 4th term is 5 + 3(4-1) = 5 + 9 = 14.

Front

What is the formula for the nth term of an arithmetic sequence?

Back

Front

Determine the 5th term of the sequence 2, 5, 8, 11,...

Back

The 5th term is 2 + 4(5-1) = 2 + 16 = 18.

Front

What is the 7th term of the arithmetic sequence 10, 15, 20, ...?

Back

The 7th term is 10 + 5(7-1) = 10 + 30 = 40.

Front

Identify the common difference in the sequence 12, 9, 6, 3,...

Back

The common difference is -3.

Front

If the 3rd term of an arithmetic sequence is 12 and the common difference is 4, what is the first term?

Back

The first term is 12 - 2(4) = 12 - 8 = 4.

Front

Which of the following is an arithmetic sequence? 1, 3, 5, 7 or 2, 4, 8, 16?

Back

1, 3, 5, 7 is an arithmetic sequence with a common difference of 2.

Front

What is the 10th term of the sequence 7, 14, 21, ...?

Back

The 10th term is 7 + 7(10-1) = 7 + 63 = 70.