Number Sequence

Question 1

What is a number sequence

Answer 1

It is a set of numbers that follow a fixed operation that can be used to predict the next number or any number at any point of the sequence

Question 2

How do you determine the sequence?

Answer 2

Look out for patterns that you can observe from consecutive numbers

Question 3

What is the pattern from this set of numbers?

1, 3, 5, 7, 9….

Answer 3

Notice that the difference between the consecutive numbers is 2

3 - 1 = 2

5 - 3 = 2

7 - 5 = 2

9 - 7 = 2

To determine the next number, add 2 to the previous number

So after 9, we get 11

Question 4

What is the pattern from this set of numbers?

10, 8, 6, 4, 2……

Answer 4

Notice that the difference between the consecutive numbers is -2

8 - 10 = -2

6 - 8 = -2

4 - 6 = -2

2 - 4 = -2

To determine the next number, subtract 2 from the previous number

So after 2, we get 0

Question 5

What is the pattern from this set of numbers?

2, 4, 8, 16, 32

Answer 5

Notice that we when divide a number with the previous number, we get 2

4/2 = 2

8/4 = 2

16/8 = 2

32/16 = 2

To determine the next number, multiply 2 with the previous number

So after 32, we get 64

Question 6

What is the pattern from this set of numbers?

128, 64, 32, 16, 8

Answer 6

Notice that we when we divide a number with the next number, we get 2

128/64 = 2

64/32 = 2

32/16 = 2

16/8 = 2

To determine the next number, divide 2 with the previous number

So after 4, we get 2

Question 7

What is the pattern from this set of numbers?

1, 4, 9, 16, …

Answer 7

Notice that each number is the square of the position of that number

1² = 1

2² = 4

3² = 9

4² = 16

To determine the next number, we take the square of the position of that number. Since it is the 5^th number

5² = 25