# SSAT Upper Level Math : Sequences and Series

## Example Questions

### Example Question #11 : Sequences And Series

What is the next number in the sequence?

_______

Explanation:

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 , we add  to get  and then subtract  to get .

By the time we get to , we have subtracted  from  to complete the cycle of common differences. We will therefore add  to  next, getting the missing number .

### Example Question #12 : Sequences And Series

What is the next number in the sequence?

_______

Explanation:

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  by  to get  and then divide by  to get

We multiply the second  in the sequence by  to get , so by the logic of the sequence we will be dividing by  to get the missing number .

### Example Question #1 : Common Difference In Sequences

Find the common difference for the arithmetic sequence:

Explanation:

Subtract the first term from the second term to find the common difference.

### Example Question #1571 : Ssat Upper Level Quantitative (Math)

Find the common difference for the arithmetic sequence:

Explanation:

Subtract the first term from the second term to find the common difference.

### Example Question #11 : Sequences And Series

Find the common difference for the arithmetic sequence:

Explanation:

Subtract the first term from the second term to find the common difference.

### Example Question #1 : How To Find The Common Difference In Sequences

Find the common difference for the arithmetic sequence:

Explanation:

Subtract the first term from the second term to find the common difference.

### Example Question #1 : How To Find The Common Difference In Sequences

Find the common difference for the arithmetic sequence:

Explanation:

Subtract the first term from the second term to find the common difference.

### Example Question #11 : Common Difference In Sequences

Find the common difference for the arithmetic sequence:

Explanation:

Subtract the first term from the second term to find the common difference.

### Example Question #11 : Common Difference In Sequences

Find the common difference for the arithmetic sequence:

Explanation:

Subtract the first term from the second term to find the common difference.

### Example Question #12 : Common Difference In Sequences

Find the common difference for the arithmetic sequence: