SSAT Upper Level Math : How to find the common difference in sequences
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Example Questions
Example Question #6 : Sequences And Series
Set R consists of multiples of 4. Which of the following sets are also included within set R?
Set W, containing multiples of 8.
Set X, containing multiples of 2.
Set Q, containing multiples of 7.
Set Y, containing multiples of 6.
Set Z, containing multiples of 1.
Set W, containing multiples of 8.
The easiest way to solve this problem is to write out the first few numbers of the sets.
Set R (multiples of 4):
Set W (multiples of 8):
Set X (multiples of 2):
Set Y (multiples of 6):
Set Z (multiples of 1):
Set Q (multiples of 7):
Given that Set W is the only set in which the entire set of numbers is reflected in Set R, it is the correct answer.
Example Question #5 : Sequences And Series
What number comes next in this sequence?
4 12 9 6 18 15 12 36 33 __
Determining sequences can take some trial and error, but generally aren't as intimidating as they may at first appear. For this sequence, you multiply the first term by 3, and then subtract 3 two times in a row. Then repeat. When you get to 33, you have only subtracted 3 once, so you have to do that one more time:
Example Question #1 : Sequences And Series
What number comes next in the sequence?
In order to find the next number in the sequence, take a look at the patterns and common differences between the existing numbers in the sequence. Starting with 
When we get to 
Example Question #1 : Common Difference In Sequences
What is the next number in the sequence?
In order to find the next number in the sequence, take a look at the patterns and common differences between the existing numbers in the sequence. Starting with 
By the time we get to 
Example Question #2 : Common Difference In Sequences
What is the next number in the sequence?
In order to find the next number in the sequence, take a look at the patterns and common differences between the existing numbers in the sequence. Starting at the beginning, we multiply 
We multiply the second 
Example Question #1 : Common Difference In Sequences
Find the common difference for the arithmetic sequence:
Subtract the first term from the second term to find the common difference.
Example Question #2 : Common Difference In Sequences
Find the common difference for the arithmetic sequence:
Subtract the first term from the second term to find the common difference.
Example Question #3 : Common Difference In Sequences
Find the common difference for the arithmetic sequence:
Subtract the first term from the second term to find the common difference.
Example Question #1 : Common Difference In Sequences
Find the common difference for the arithmetic sequence:
Subtract the first term from the second term to find the common difference.
Example Question #2 : Common Difference In Sequences
Find the common difference for the arithmetic sequence:
Subtract the first term from the second term to find the common difference.
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All SSAT Upper Level Math Resources
