### All PSAT Math Resources

## Example Questions

### Example Question #21 : Arithmetic Sequences

**Possible Answers:**

**Correct answer:**

Each term in the sequence is one less than twice the previous term.

So,

### Example Question #31 : Sequences

What is the next number in the following series: 0, 3, 8, 15, 24 . . . ?

**Possible Answers:**

40

32

37

41

35

**Correct answer:**

35

The series is defined by n^{2} – 1 starting at n = 1. The sixth number in the series then equal to 6^{2} – 1 = 35.

### Example Question #31 : Sequences

A sequence of numbers is as follows:

What is the sum of the first seven numbers in the sequence?

**Possible Answers:**

1529

248

490

719

621

**Correct answer:**

621

The pattern of the sequence is (x+1) * 2.

We have the first 5 terms, so we need terms 6 and 7:

(78+1) * 2 = 158

(158+1) * 2 = 318

3 + 8 + 18 +38 + 78 + 158 + 318 = 621

### Example Question #181 : Integers

Find the term in the sequence

**Possible Answers:**

**Correct answer:**

Notice that in the sequence

each term increases by .

It is always good strategy when attempting to find a pattern in a sequence to examine the difference between each term.

We continue the pattern to find:

The term is

The term is

The term is

It is useful to note that the sequence is defined by,

where n is the number of any one term.

We can solve

to find the term.

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