Difference Table

Difference Table
The process of finding the next term in a given sequence can also be found using
another technique.
Finding the difference between the number pattern will help us find the next term.
The difference table is needed to be constructed.
DIFFERENCE TABLE
A difference table shows the difference between successive terms of the sequence.
The differences in rows may be the first, second, and third differences. The following
examples will show how to predict the next term of a sequence and we look for a
pattern in a row difference.
Examples: Construct the difference table to predict the next term of each sequence.
1.) 3,7, 11, 15, 19, _____
solution:
7-3=4
11 - 7 = 4
15 - 11 = 4
19 - 15 = 4
Since the difference of the sequence are the same this means that the first difference
in the sequence is 4.
To find the next term we need to add 19 and 4 that are equal to 23.
hence, the next term in the sequence is 23...
2.) 4, 9, 17, 28, ______
solution:
9-4=5
17 - 9 = 8
28 - 17 = 11
The first difference are not the same so let us find the second difference:
8-5=3
11 - 8 = 3