Directions: Identify the missing term in the following number pattern.

-7, -28, ?, -448, -1792, -7168

The correct option is -112.

To find the missing term in the given number pattern, let us analyze the relationship between consecutive terms in the sequence:

-7, -28, ?, -448, -1792, -7168

We observe the pattern by finding the ratio between successive known terms:

$\frac{-28}{-7}=4$

Checking the ratio for the later terms in the sequence:

$\frac{-1792}{-448}=4$

$\frac{-7168}{-1792}=4$

This reveals that each term in the sequence is obtained by multiplying the preceding term by 4.

Now, we can calculate the missing term by multiplying the second term (-28) by 4:

$\text{Missing term}=-28\times 4=-112$

To verify, multiplying -112 by 4 should yield the next given term (-448):

$-112\times 4=-448$

The pattern holds true throughout the sequence. Therefore, the missing term is -112.