GED Math : Patterns and Sequences
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Example Questions
Example Question #182 : Numbers
Find the missing number in the sequence:
Find the missing number in the sequence:
We have a sequence where each term is a multiple of the previous term. This is known as a geometric series.
We need to find the common multiple, and then use it to find our second term. To find the common multiple, divide any term by its previous term.
ex)
So, our common multiple is 7. Use this to find our second term.
So, our answer is 49
Example Question #22 : Patterns And Sequences
Find the missing term in the following arithmetic series:
Find the missing term in the following arithmetic series:
An arithmetic series is one in which the next term is found by adding a constant number to the previous term. This is called the common difference.
First, we need to find the common difference. Do so by subtracting any term from its following term.
Note that it doesn't matter which pair of consecutive terms we choose, just so long as we subtract the smaller from the larger.
So, our common difference is 13. Thus, our answer can be found via the following:
So our answer is 44
Example Question #184 : Numbers
The first term of an arithmetic sequence is 
Recall that in an arithmetic sequence, we will be adding or subtracting the same number to get each successive term.
We can tell that the terms are decreasing by 
The tenth term is 
Example Question #182 : Numbers
If the first three terms of an arithmetic sequence are 5, 12, and 19, what is the fifth term of the sequence?
Recall that in an arithmetic sequence, you will be adding or subtracting by a certain number to get the subsequent values in the sequence.
From the given numbers, you should notice that the sequence is increasing by 
Example Question #183 : Numbers
Find the next number in the sequence:
1, -1, 3, -5, 11, -21, ...
The pattern of the sequence is 
Therefore,
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