*This Math quiz is called 'Number Sequences' and it has been written by teachers to help you if you are studying the subject at middle school. Playing educational quizzes is a fabulous way to learn if you are in the 6th, 7th or 8th grade - aged 11 to 14.*

* It costs only $12.50 per month to play this quiz and over 3,500 others that help you with your school work. You can subscribe on the page at Join Us*

A number sequence involves following a pattern. Spotting the pattern is the key! For example, in the sequence 8, 16, 32, 64, ... each number in the sequence can be got from the previous term by multiplying by 2. In this case, the rule is: multiply by 2. The numbers in a sequence are called 'terms': in 5, 10, 15, 20, ... '5' is the first term and '15' is the third term.

1.

Which sequence can be formed from the given rule for the n^{th} term?

n^{th} term = -5n

n

-5, -10, -15, -20, ...

5, 10, 15, 20, ...

0, -5, -10, -15, ...

-5, -25, -125, -625, ...

2.

Which sequence can be formed from the given rule for the n^{th} term?

n^{th} term = n^{2} - n

n

0, 3, 8, 15, ...

0, 2, 6, 12, ...

0, 2, 4, 6, 8, ...

1, 3, 5, 7, ...

The terms of the sequence are found by first putting n = 1, then n = 2, then n = 3 and finally n = 4 in the rule for the n^{th} term = n^{2} - n. As follows (do the multiplication first THEN the addition):

n = 1 gives 1^{2} - 1 = 0

n = 2 gives 2^{2} - 2 = 2

n = 3 gives 3^{2} - 3 = 6

n = 4 gives 4^{2} - 4 = 12

n = 1 gives 1

n = 2 gives 2

n = 3 gives 3

n = 4 gives 4

3.

Which sequence can be formed from the given rule for the n^{th} term?

n^{th} term = 2n

n

2, 4, 8, 16, ...

3, 6, 9, 12, ...

1, 2, 4, 6, ...

2, 4, 6, 8, ...

The terms of the sequence are found by first putting n = 1, then n = 2, then n = 3 and finally n = 4 in the rule for the n^{th} term = 2n. As follows:

n = 1 gives 2 × 1 = 2

n = 2 gives 2 × 2 = 4

n = 3 gives 2 × 3 = 6

n = 4 gives 2 × 4 = 8

n = 1 gives 2 × 1 = 2

n = 2 gives 2 × 2 = 4

n = 3 gives 2 × 3 = 6

n = 4 gives 2 × 4 = 8

4.

Which sequence can be formed from the given rule for the n^{th} term?

n^{th} term = 2n + 3

n

1, 7, 9, 13, ...

1, 5, 7, 9, ...

2, 5, 7, 9, ...

5, 7, 9, 11, ...

The terms of the sequence are found by first putting n = 1, then n = 2, then n = 3 and finally n = 4 in the rule for the n^{th} term = 2n + 3. As follows (do the multiplication first THEN the addition):

n = 1 gives 2 × 1 + 3 = 5

n = 2 gives 2 × 2 + 3 = 7

n = 3 gives 2 × 3 + 3 = 9

n = 4 gives 2 × 4 + 3 = 11

n = 1 gives 2 × 1 + 3 = 5

n = 2 gives 2 × 2 + 3 = 7

n = 3 gives 2 × 3 + 3 = 9

n = 4 gives 2 × 4 + 3 = 11

5.

Which sequence can be formed from the given rule for the n^{th} term?

n^{th} term = n^{2}

n

1, 4, 9, 16, ...

2, 4, 6, 8, ...

1, 2, 3, 4, ...

1, 8, 27, 64, ...

The terms of the sequence are found by first putting n = 1, then n = 2, then n = 3 and finally n = 4 in the rule for the n^{th} term = n^{2}. As follows:

n = 1 gives 1^{2} = 1

n = 2 gives 2^{2} = 4

n = 3 gives 3^{2} = 9

n = 4 gives 4^{2} = 16

n = 1 gives 1

n = 2 gives 2

n = 3 gives 3

n = 4 gives 4

6.

Which sequence can be formed from the given rule for the n^{th} term?

n^{th} term = 6n

n

6, 12, 18, 24, ...

0, 6, 12, 18, ...

2, 4, 6, 8, ...

1, 6, 12, 18, ...

The terms of the sequence are found by first putting n = 1, then n = 2, then n = 3 and finally n = 4 in the rule for the n^{th} term = 6n. As follows (do the multiplication first THEN the addition):

n = 1 gives 6 × 1 = 6

n = 2 gives 6 × 2 = 12

n = 3 gives 6 × 3 = 18

n = 4 gives 6 × 4 = 24

n = 1 gives 6 × 1 = 6

n = 2 gives 6 × 2 = 12

n = 3 gives 6 × 3 = 18

n = 4 gives 6 × 4 = 24

7.

Which sequence can be formed from the given rule for the n^{th} term?

n^{th} term = 4n + 7

n

11, 15, 18, 23, ...

11, 13, 15, 19, ...

11, 15, 19, 23, ...

11, 12, 15, 19, ...

The terms of the sequence are found by first putting n = 1, then n = 2, then n = 3 and finally n = 4 in the rule for the n^{th} term = 4n + 7. As follows (do the multiplication first THEN the addition):

n = 1 gives 4 × 1 + 7 = 11

n = 2 gives 4 × 2 + 7 = 15

n = 3 gives 4 × 3 + 7 = 19

n = 4 gives 4 × 4 + 7 = 23

n = 1 gives 4 × 1 + 7 = 11

n = 2 gives 4 × 2 + 7 = 15

n = 3 gives 4 × 3 + 7 = 19

n = 4 gives 4 × 4 + 7 = 23

8.

Which sequence can be formed from the given rule for the n^{th} term?

n^{th} term = 4n - 1

n

5, 7, 11, 15, ...

3, 7, 12, 15, ...

3, 8, 11, 15, ...

3, 7, 11, 15, ...

The terms of the sequence are found by first putting n = 1, then n = 2, then n = 3 and finally n = 4 in the rule for the n^{th} term = 4n - 1. As follows (do the multiplication first THEN the subtraction):

n = 1 gives 4 × 1 - 1 = 3

n = 2 gives 4 × 2 - 1 = 7

n = 3 gives 4 × 3 - 1 = 11

n = 4 gives 4 × 4 - 1 = 15

n = 1 gives 4 × 1 - 1 = 3

n = 2 gives 4 × 2 - 1 = 7

n = 3 gives 4 × 3 - 1 = 11

n = 4 gives 4 × 4 - 1 = 15

9.

Which sequence can be formed from the given rule for the n^{th} term?

n^{th} term = 2n - 1

n

1, 3, 5, 9, ...

1, 3, 5, 7, ...

0, 1, 3, 5, ...

1, 5, 15, 45, ...

The terms of the sequence are found by first putting n = 1, then n = 2, then n = 3 and finally n = 4 in the rule for the n^{th} term = 2n -1. As follows (do the multiplication first THEN the subtraction):

n = 1 gives 2 × 1 - 1 = 1

n = 2 gives 2 × 2 - 1 = 3

n = 3 gives 2 × 3 - 1 = 5

n = 4 gives 2 × 4 - 1 = 7

n = 1 gives 2 × 1 - 1 = 1

n = 2 gives 2 × 2 - 1 = 3

n = 3 gives 2 × 3 - 1 = 5

n = 4 gives 2 × 4 - 1 = 7

10.

Which sequence can be formed from the given rule for the n^{th} term?

n^{th} term = -n + 1

n

0, 1, 2, 3, ...

0, -1, -2, -3, ...

1, 2, 3, 4, ...

1, 3, 5, 7, ...

The terms of the sequence are found by first putting n = 1, then n = 2, then n = 3 and finally n = 4 in the rule for the n^{th} term = -n + 1. As follows:

n = 1 gives -1 + 1 = 0

n = 2 gives -2 + 1 = -1

n = 3 gives -3 + 1 = -2

n = 4 gives -4 + 1 = -3

n = 1 gives -1 + 1 = 0

n = 2 gives -2 + 1 = -1

n = 3 gives -3 + 1 = -2

n = 4 gives -4 + 1 = -3

**Unlimited Quizzes Await You! 🚀**

Hey there, quiz champ! 🌟 You've already tackled today's free questions.

Ready for more?

Ready for more?

🔓 Unlock UNLIMITED Quizzes and challenge yourself every day. But that's

not all...

not all...

🔥 As a Subscriber you can join our thrilling "Daily Streak" against other

quizzers. Try to win a coveted spot on our Hall of Fame Page.

quizzers. Try to win a coveted spot on our Hall of Fame Page.

Don't miss out! Join us now and keep the fun rolling. 🎉

**Unlimited Quizzes Await You! 🚀**

Hey there, quiz champ! 🌟 You've already tackled today's free questions. Ready for more?

🔓 Unlock UNLIMITED Quizzes and challenge yourself every day. But that's not all...

🔥 As a Subscriber you can join our thrilling "Daily Streak" against other quizzers. Try to win a coveted spot on our Hall of Fame Page.

Don't miss out! Join us now and keep the fun rolling. 🎉

^{th}term = -5n. As follows:n = 1 gives -5 × 1 = -5

n = 2 gives -5 × 2 = -10

n = 3 gives -5 × 3 = -15

n = 4 gives -5 × 4 = -20