Common Difference in Sequences Worksheet

What is the definition of "Common Difference" in a sequence?

• The number you multiply each term by to get the next term.

• The number you add or subtract from the previous value to get the next value.

• The largest number in the sequence.

• The sum of all terms in the sequence.

In the sequence 3, ___, 9, ___, 15, what is the common difference?

• 2

• 3

• 4

• 6

For the sequence 20, 17, ___, 11, ___, what is the common difference?

• -2

• -3

• -1

• -4

What number do you add to -5 to get -2 in the sequence -5, -2, ___, ___, 7?

• 2

• 3

• 4

• 5

In the sequence 100, ___, ___, 70, 60, what is the common difference?

• -5

• -10

• -15

• -20

If you start at 0 and add ___ each time, you get the sequence 0, 5, ___, ___, ___.

• 2

• 3

• 4

• 5

What number comes before -9 in the sequence ___, -9, -6, ___, 0 if we’re adding 3 each time?

• -12

• -15

• -6

• -3

In the sequence 7, ___, ___, 28, ___, what is the common difference if the sequence is increasing by the same amount each time?

• 5

• 7

• 14

• 21

If the sequence 50, ___, 40, ___, ___ goes down by 5 each time, what is the second term?

• 45

• 35

• 55

• 30

What do you add to 6 to get the next term in the sequence ___, 6, ___, 14, ___?

• 2

• 3

• 4

• 8