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What is a sequence? Well, a sequence is a series of items such as a series of seats in a theater or a TV series. However, in math, a sequence refers to a series of numbers. For example, 1, 2, 3, 4, 5, 6… is a series of numbers that go in sequential order from lowest number to highest number.
The series, 59, 58, 57, 56, 55, 54… is a series of numbers that go in sequential order from highest number to lowest number.
In math there are two different types of number sequences and for this quiz we will be dealing with the arithmetic sequence. What is an arithmetic sequence?
Arithmetic sequence is a series of numbers in which each preceding term or number is added to or subtracted from the preceding number by the same constant number.
Let’s look at the following arithmetic sequence.
4, 8, 12, 16, 20, 24, 28, 32
In this series, the constant number is “4” and each preceding number has the number “4” added to it as follows:
4 + 4 = 8
8 + 4 = 12
12 + 4 = 16
16 + 4 = 20
20 + 4 = 24
24 + 4 = 28
28 + 4 = 32
Here is another arithmetic sequence.
57, 50, 43, 36, 29, 22, 15
In this series, the constant number is “7” and each preceding number has the number “7” subtracted from it as follows:
57 - 7 = 50
50 - 7 = 43
43 - 7 = 36
36 - 7 = 29
29 - 7 = 22
22 - 7 = 15