The number series follows the following rule

1st number = 0²-2 = -2
2^nd number = 1²-2 = -1
3^rd number = 2²-2 =   2
4^th number = 3²-2 =   7

5^th number = 4²-2 = 14

6^th number = 5²-2 = 23

The number series follows the following rule

                                   1            2             5            10             17             26

Difference:              1             3             5              7               9

The number series follows the following rule

1st number = 0
2^nd number = 1
3^rd number = Sum of previous numbers=0+1=1
4^th number = Sum of previous numbers=0+1+1=2

5^th number = Sum of previous numbers=0+1+1+2=4

6^th number = Sum of previous numbers=0+1+1+2+4=8

7^th number = Sum of previous numbers=0+1+1+2+4+8=16

The number series consists of two separate series

                               1      2      3       4  

                                            &

                              24      21      19     16

                                    3         3        3

The pairs of number in the series are natural sequential number; but, after a sequential pair next is reversed in position.

The number series follows the following rule

                      3       8      15      24       35      48

 Difference:     5       7         9       11       13

The number series follows the following rule

1^st  number = 0³+1 =1
2^nd number = 1³+1 = 2
3^rd number = 2³+1 = 9
4^th number = 3³+1 = 28

5^th number = 4³+1 = 65

6^th number = 5³+1 = 126

The number series follows the following rule

1^st number = 1³+2 = 3
2^nd number = 2³+2 =10
3^rd number = 3³+2 = 29

4^th number = 4³+2 = 66

5^th number = 5³+2 = 127

The number series follows the following rule

1^st number = 1
2^nd number = 1÷2= 0.50
3^rd number = 1÷3= 0.33

4^th number = 1÷4= 0.25

5^th number = 1÷5= 0.20

The number series follows the following rule

                         123      111      100     90     81

   Difference:          12        11       10       9