** 1 Hour**

For each question, show all your working in full, as this will be marked, and then write your answer clearly in the space provided.

You have 1 hour for this paper which is worth 80 marks.

7. In a **“prod sequence”**, a number in the sequence is the **product** of some of the previous terms. **So in a “2 prod sequence” we start with 2 numbers and then each number that follows after is the product of the previous 2 numbers.**

For example 1, 2, 2, 4, 8 ……..

Similarly, where we start with the three numbers 1, 2 and 3 then a “3 prod sequence” would be

1, 2, 3, 6, 36, 648 ……

Fill in the missing numbers in the following sequences

(a) 2 prod sequence 2, 3, ,

(b) 3 prod sequence 2, 3, 3, ,

(c) 4 prod sequence 2, 3, 5, , 210

(d) 2 prod sequence

2, , , , 500

(e) 4 prod sequence

2 , 2 , , 7 , , 3528