GED Math : Patterns and Sequences

Study concepts, example questions & explanations for GED Math

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Example Questions

Example Question #561 : Numbers And Operations

What property of arithmetic is symbolized below?

If  and , then .

Possible Answers:

Reflexive

Transitive

Distributive

Associative

Correct answer:

Transitive

Explanation:

The symbols express the idea that two numbers equal to the same number are also equal to each other. This is the transitive property of equality.

Example Question #562 : Numbers And Operations

What property of arithmetic is symbolized below?

If  and , then .

Possible Answers:

Associative

Inverse

Commutative

Transitive

Correct answer:

Transitive

Explanation:

The symbols express the idea that if a number is greater than a second number, which is greater than a third, then the first number is greater than the third. This is the transitive property of inequality.

Example Question #11 : Patterns And Sequences

What is the next number in the series?

Possible Answers:

Correct answer:

Explanation:

The series follows the pattern

.

Plug in the last number given:

Example Question #561 : Numbers And Operations

What number comes next in the sequence?  

Possible Answers:

Correct answer:

Explanation:

The numbers can be seen as increasing by four per term since:

This means the term after three is four more than three.

The answer is:  

Example Question #561 : Numbers And Operations

Give the next number in the sequence:

Possible Answers:

Correct answer:

Explanation:

Each term of the sequence is found by adding a number to the previous one; the number added is incremented by 2 each time, as seen below:

The next term, which is the missing term, is obtained by adding 12 to 26:

,

the correct choice.

Example Question #11 : Patterns And Sequences

What is the next number in the following sequence?

Possible Answers:

Correct answer:

Explanation:

Understanding this sequence takes a quick eye, so to speak.  Notice this interesting fact.  You can rewrite the sequence as follows:

That is a rather simple sequence if you think of it.  The best clue to help you see it will likely be the transition between  and .  These are the numbers that will most like stand out as a square and a cube.  Based on this data, you can reasonably guess that the next number in the sequence is  or .

Example Question #11 : Patterns And Sequences

What is the next number in the following sequence?

Possible Answers:

Correct answer:

Explanation:

Begin by considering how much the numbers change between each set of values.  The following places the change in brackets:

You can guess that the next change will be by .  Therefore, the next value in the sequence will be  or .

Example Question #18 : Patterns And Sequences

Fill in the missing value in the following sequence:

Possible Answers:

Cannot be determined based on the information provided

Correct answer:

Explanation:

Start by filling in the changes that happen from number to number in the sequence.  This is done below in brackets:

Now, you know that 

Thus, you know that the sequence will continue after  by subtracting .  Thus, the missing value is .

Example Question #2041 : Ged Math

What number belongs in the question mark?  

Possible Answers:

Correct answer:

Explanation:

Notice that the numbers are increasing by 6 every time.  

Add 6 to the end of the last number to obtain the number in the question mark.

The answer is:  

Example Question #20 : Patterns And Sequences

If the first and second terms of an arithmetic sequence are  and , respectively, what is the fourth term of the sequence?

Possible Answers:

Correct answer:

Explanation:

Recall that in an arithmetic sequence, the difference between terms is constant. From the given first and second terms, we see that the sequence is increasing by  for each term. Thus, the third term must be , and the fourth term must be .

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