What is the next number in this pattern:32, 48, 56, 60, 62, 63,...

Let the missing number be x:

32,
48, 56, 60, 62, 63, x

We will find the difference between terms in
order to find a common ratio :

==> 48 - 32 =
16

==> 56 - 48 =  8

==>
60 - 56 = 4

==> 62 - 60 =
2

==> 63 - 62= 1

==> x -
63 = ?

We notice that there is a pattern for the difference between
each two consecutive terms.

The sequence of the differences
s:

16, 8, 4, 2, 1, ...

Then we notice
that the differences sequence is a geometric progression such that: r =
1/2

Then the last difference will be 1*1/2 =
1/2

Then the difference between the last two terms =
1/2

==> x - 63 =
1/2

==> x =
63.5

Then the missing number is
63.5