# nth term worksheet or homework sheet. Includes answers (increasing sequences).

## Questions on the nth term

Here are some extra questions to help you working out the nth term of a number sequence.

1. Write down the n^{th} term of this number sequence 3, 7,11,15,19...

2. Write down the n^{th }term of this number sequence 3,8,13,18,23...

3. Write down an expression in terms of n for this number sequence 7,16,25,34,43,52...

4. Write down an expression in terms of n for this number sequence 9,15,21,27,33...

5. Write down an expression in terms of n for this number sequence 14,22,30,38,46...

6. Write down the nth term of this number sequence -3,1,5,9,13...

7. Write down the nth term of this number sequence -5,-3,-1,1,3...

8.Write down the nth term of this number sequence -3,11,25,39,53...

9. Calculate the 70^{th} term of this number sequence 6,10,14,18,22 (Hint: First work out the nth term and use this to find the 70^{th} term)

10. Calculate the 90^{th} term of this number sequence 2,13,24,35,46...

## Answers

1. Write down the n^{th} term of this number sequence 3, 7,11,15,19...

**nth term = 4n-1**

2. Write down the n^{th }term of this number sequence 3,8,13,18,23...

**nth term = 5n - 2**

3. Write down an expression in terms of n for this number sequence 7,16,25,34,43,52...

**9n - 2**

4. Write down an expression in terms of n for this number sequence 9,15,21,27,33...

**6n + 3**

5. Write down an expression in terms of n for this number sequence 14,22,30,38,46...

**8n + 6**

6. Write down the nth term of this number sequence -3,1,5,9,13...

**nth term = 4n - 7**

7. Write down the nth term of this number sequence -5,-3,-1,1,3...

**nth term = 2n - 3**

8.Write down the nth term of this number sequence -3,11,25,39,53...

**14n - 17**

9. Calculate the 70^{th} term of this number sequence 6,10,14,18,22 (Hint: First work out the nth term and use this to find the 70^{th} term)

**nth term = 4n + 2**

**70 ^{th} term = 4 × 70 + 2 = 282**

10. Calculate the 90^{th} term of this number sequence 2,13,24,35,46...

**nth term = 11n - 9**

**90 ^{th} term = 11 × 90 – 9 = 981**

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