Directions:

Find the missing term in the following number sequence.

96, 48, ?, 180, 630, 2835

The correct option is 120.

To find the missing term in the given number sequence, let us analyze the relation between consecutive numbers by determining the multiplying factors.

The sequence provided is:
96, 48, ?, 180, 630, 2835

Step 1: Find the multiplier between the first and second terms.

$48÷96=0.5$

So, the first transition is:
$96\times 0.5=48$

Step 2: Find the multipliers between the known terms at the end of the sequence.

For the transition from 630 to 2835:
$2835÷630=4.5$

For the transition from 180 to 630:
$630÷180=3.5$

Step 3: Analyze the pattern of multiplication factors.

The series of multipliers follows the pattern: 0.5, 2.5, 1.5, 3.5, 4.5.

Applying the second multiplier (2.5) to the second term (48):

$48\times 2.5=120$

Step 4: Verify the result by applying the next multiplier (1.5) to check if it yields the fourth term (180).

$120\times 1.5=180$

Since the calculated term matches 180, the pattern holds true.

Therefore, the missing term in the sequence is 120.