Sequences (2)

1. Write down the next 3 terms in each sequence.

a)  7 , 12 , 17 , 22 , 27 , - , - , - , -

b)  2 , 19 , 36 , 53 , 70 , - , - , - , -

c)  8 , 14 , 20 , 26 , - , - , - , - , - , -

d)  25 , 29 , 33 , 37 , 41 , - , - , - , - , -

e)  65 , 62 , 59 , 56 , 53 , - , - , - , - , -

f)  12 , 23 , 34 , 45 , - , - , - , - , -

g)  6 , 27 , 48 , 69 , 90 , - , - , - , - , -

h)  80 , 67 , 54 , 41 , - , - , - , - , -

i)  110 , 99 , 88 , 77 , - , - , - , - , -

2. Find the value of the letters shown as x and y

a)  5 , 22 , x , y , 73 , 90 , - , - , - ,

b)  29 , 25 , x , y , 13 , 9 , - , - , - , -

c)  20 , 35 , x , 65 , y , - , - , -

d)  x , y , 15 , 23 , 31 , 39 , - , - , - , - ,

e)  5 , x , 27 , 38 , 49 , y , - , - , - , -

f)  0 , 7 , x , y , 28 , 35 , - , - , -

g)  200 , 185 , x , 155 , y , 125 , - , -

h)  9 , x , y , 66 , 85 , 104 , - , - , -

3. Write down the next three terms in each of the sequences below

a)  3 , 9 , 27 , 81 , - , - , - , - , -

b)  4 , 8 , 16 , 32 , - , - , - , -

c)  3 , 15 , 75 , - , - , - , - , -

d)  2 , 3 , 4.5 , 6.75 , - , - , - , - ,

e)  800 , 400 , 200 , 100 , - , - , - , - , -

f)  3.5 , 7 , 14 , 28 , 56 , - , - , - , - , -

g)  2 , 12 , 72 , 432 , - , - , - , - , -

4. Write down the next 4 terms in the sequence

2 , 4½ , 7 , 9½ , - , - , - , - , - , -

5. Find the 12th term of the sequence

3 , 8 , 13 , 18 , - , - , - , - , - , -

6. Find the 10th term of the sequence

100 , 82 , 64 , 46 , - , - , - , - , -

7. Consider this sequence

4 , 7 , 11 , 18 , 29 , 47 , 76 , - , - , - , - , -

Do you see how successive numbers in the sequence are

formed? Can you carry on the sequence?

8. Write down the next five terms of the sequence

3 , 6 , 9 , 15 , 24 , - , - , - , - , - , -

Can you make up your own sequence following the same

pattern as the example shown here?

9. Write down the next 5 terms of the sequence

6 , 8¾ , 11½ , 14¼ , - , -, -, -, -

10. Write down the next 5 terms of the sequence

6 , 3 , 1.5 , 0.75 , - , - , - , -

11. Consider the sequence which starts 1 , 3 , 5 , - - - -

Can you continue the sequence explaining how you get the terms which follow the first three terms shown? How many different sequences can you find which start with the three

terms 1 , 3 and 5. Explain the rule in each sequence.