Hello,

To find the missing term in the series 30, 31, 34, 39, 46, let's analyze the pattern:

The difference between 31 and 30 is

31

−

30

=

1

31−30=1

The difference between 34 and 31 is

34

−

31

=

3

34−31=3

The difference between 39 and 34 is

39

−

34

=

5

39−34=5

The difference between 46 and 39 is

46

−

39

=

7

46−39=7

The differences are 1, 3, 5, 7, which are consecutive odd numbers. Continuing this pattern, the next difference should be 9.

Thus, the next term is

46

+

9

=

55

46+9=55.

So, the missing term is 55.

Hope this helps you,

Thank you