Series and Sequences

Fast trick to solve Series & sequences

What should come in the place of Question marks (?) in the following series?

1) 88 , 64 , 24 , ?

1 term = 64

2 term = 8 * 8 = 64

3 term = 6 * 4 = 24

4 term = 2 * 4 = 8

? = 8


2) 1 , 3 , 4 , 8 , 15 , 27 , ?

First of all we add the first 3 numbers like :

1 + 3 + 4 = 8

3 + 4 + 8 = 15

4 + 8 + 15 = 27

8 + 15 + 27 = 50

? = 50


3) 2 , 7 , 17 , 32 , 52 , 77 , ?

Calculate the difference between the numbers :

7 - 2 , 17 - 7 , 32 - 17 , 52 - 32 , 77 - 52 , ? - 77

5 , 10 , 15 , 20 , 25 , ?

As we see there is sequence in differences where 5 is added in previous number and we get the next number :

5 , 10 , 15 , 20 , 25 , 30

Now lets add 30 to the last number of series :

77 + 30 = 107

? = 107