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

Is the sequence 78, 785, 7855, 78555 an arithmetic sequence?

Back

No

Front

What is the explicit formula for the n^th term of the arithmetic sequence 2, 9, 16, 23?

Back

a_n = 2 + 7(n-1)

Front

Which of the following sequences is NOT an arithmetic sequence: -7, -13, -19, -25 or 3, 15, 75, 375?

Back

3, 15, 75, 375

Front

Identify the common difference in the sequence 10, 20, 30, 40.

Back

10

Front

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

Back

a_n = 25 - 4(n-1)

Front

How do you find the n^th term of an arithmetic sequence?

Back

Use the formula a_n = a₁ + (n-1)d, where a₁ is the first term and d is the common difference.

Front

What is the first term of the arithmetic sequence 5, 10, 15, 20?

Back

5

Front

If the common difference of an arithmetic sequence is 3, what are the next two terms after 12?

Back

15, 18