# GED Math : Patterns and Sequences

## Example Questions

### Example Question #561 : Numbers And Operations

What property of arithmetic is symbolized below?

If  and , then .

Reflexive

Transitive

Distributive

Associative

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 .

Associative

Inverse

Commutative

Transitive

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?

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?

Explanation:

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

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

### Example Question #561 : Numbers And Operations

Give the next number in the sequence:

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?

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?

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:

Cannot be determined based on the information provided

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?

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.

### 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?