# Number Series

## Number Series

We Are Starting reasoning from Number Series because Number Series is a vary easy and basic Chapter in reasoning . There is only four main and easy Point in this, lets Start its.

Number series is sequence formed of numbers, we can find the number/ answer easily just detect the rules and get your answer following are some types in number series

## Next number in the series.

In this type we  jus find the next number in the series its very easy lets explain with the following example :-

Q) 5, 10, 15, 20, ?

Ans :-  Just find different between first and second term

10 -5 = 5

15-10= 5

20-15= 5

so the different between two term is 5, than final answer is add 5 in last term 20+ 5 =  25

Q ) 4, 7, 23, 89 , ?

Ans : –

(4 * 2 ) – 1 = 7

(7* 3 ) + 2 = 23

(23 * 4 )  – 3 = 89

So our final Answer is   (89  * 5 ) + 4 = 449

Q)19,  20, 24, 33, 49, 74, …

hints (Square Difference)

Ans : –

20 – 19= 1( 1)

24 – 20 = 4 ( 2)

33 – 24 = 9 ( 3)

49 – 33 = 16 ( 4)

74 – 49 = 25 ( 5)

so every two term different is square of number and is increase by 1 means our final answer is  = last term of series +  6

=74 + 6

= 74 + 36

= 110

So our final Answer is    = 110

Q) 1, 4, 9, ?, 25, 36, 49, 64, 81, 100

Ans : –

In the question square of the nature number like  1,2,3,4,…..10 but at a place of question mark missing number is 4 means our answer is square  of 4

So our final Answer is    = 42= 16

Q)  5, 6, 9, 14, 21, ?

Ans: Look at the diagram the different between two term is increase by + 2

So our final Answer is    =21 + 9 = 30