7. Fill in the next three numbers in these sequences:

3, 7, 11, 15, , ,

53, 46, 40, 35, , ,

1, 2, 4, 8, , ,

**END OF SECTION A. NOW GO BACK AND CHECK YOUR ANSWERS.**

**SECTION B.**

**END OF SECTION B. NOW GO BACK AND CHECK YOUR ANSWERS.**

**SECTION C.**

4. (a) A sequence starts 4,16,…….. Each term is 4 times the term before.

Write down the next five numbers in the sequence.

Which of the following could not be numbers in this sequence?

a. 23468

b. 12986

c. 23232

d. 65536

e. 98340

Give reasons for your answer(s).

(b) The first two numbers in a sequence are 2 and 4. Each of the following numbers in the sequence is the sum of all the numbers which come before it.

Write down the next five numbers in the sequence.

Which of the following could not be numbers in this sequence?

a. 49152

b. 64790

c. 24576

d. 12288

e. 34921

Give reasons for your answer(s).

5. You are reminded that to write the number 135 requires three digits. To write 5056 requires four digits.

What is the total number of digits required to write each of the following sets of numbers?

(a) 1, 2, 3, 4, 5, 6, 7, 8, 9, 10

(b) 10, 11, 12, 13…….up to and including 20

(c) 1, 2, 3,……….up to and including 100

(d) All the whole numbers from 1 to 1000 inclusive.