# 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 nth term of this number sequence 3, 7,11,15,19...

2. Write down the nth 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 70th term of this number sequence 6,10,14,18,22 (Hint: First work out the nth term and use this to find the 70th term)

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

1. Write down the nth term of this number sequence 3, 7,11,15,19...

nth term = 4n-1

2. Write down the nth 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 70th term of this number sequence 6,10,14,18,22 (Hint: First work out the nth term and use this to find the 70th term)

nth term = 4n + 2

70th term = 4 × 70 + 2 = 282

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

nth term = 11n - 9

90th term = 11 × 90 – 9 = 981