Find out the missing term of the number series given below.

300, ?, 148, 221, 441, 1101.5

The correct answer is 149.

To find the missing term in the series 300, ?, 148, 221, 441, 1101.5, let's analyze the pattern between consecutive numbers starting from the known terms later in the sequence.

Let's check the relationship between the terms:

$148\times 1.5-1=222-1=221$

$221\times 2-1=442-1=441$

$441\times 2.5-1=1102.5-1=1101.5$

We can see a clear pattern: each term is obtained by multiplying the previous term by an increasing factor (0.5, 1, 1.5, 2, 2.5, ...) and then subtracting 1.

Following this rule from the beginning of the series:

First step (from 1st term to 2nd term):
$300\times 0.5-1=150-1=149$

Second step (checking from 2nd term to 3rd term):
$149\times 1-1=149-1=148$

This confirms that the missing term is 149.