The number series follows the following rule

                      -43      -33     -23      -13     -3        7

 Difference:      10       10       10      10      10

The number series follows the following rule

                   1          2          6          24         120

Difference:  (..x2)    (..x3)    (..x4)      (..x5)

The number series consists of two separate series:

Series-1:     1², 2², 3², 4²

Series-2:     1³, 2³, 3³, 4³ 

The number series consists of two separate series

Series-1:         1       3       5       7

Difference:          2       2      2

Series-2:         1       4      7     10

Difference:          3      3      3

The number series follows the following rule

1^st number = 6
2^nd number = 6+7=13
3^rd number = 13+8=21

4^th number = 21+9=30

5^th number = 30+10=40   

The number series follows the following rule

AB=1^ST & 2^nd letter

DC=4^th & 3^rd letter

EF=5^th & 6^th letter

HG=8^th & 7^th letter

IJ=9^th & 10^th letter

The number series consists of two separate series

A, C, E, G, I

D, F, H, J

Both of the series presents the letters with omission of immediate next letter.

The number series follows the following rule

FU=6^th letter from beginning & ending

EV=5^th letter from beginning & ending

DW=4^th letter from beginning & ending

CX=3rd letter from beginning & ending

The differences between consecutive terms are increasing by 1 each time:
3−2=1

5−3=2

8−5=3

12−8=4
The next difference should be 5, so 12+5=17

The difference between each consecutive pair of numbers is doubling:
5−3=2

9−5=4

17−9=8

33−17=16
So, the next difference should be 32, so 33+32=63.