Directions: Select the option that will correctly fill in the blank to complete the given numerical sequence.
-150, -147, -144, -141, -138, ?, -132

The correct answer is -135.

To fill in the blank and complete the given numerical sequence, we need to determine the rule or pattern connecting consecutive terms in the series.

Let us find the difference between each term and the term preceding it:

$-147-(-150)=-147+150=+3$

$-144-(-147)=-144+147=+3$

$-141-(-144)=-141+144=+3$

$-138-(-141)=-138+141=+3$

The pattern demonstrates an increasing arithmetic sequence where each term is calculated by adding 3 to the previous term.

To find the missing value (represented by ?), we add 3 to -138:

$-138+3=-135$

To verify our answer, we can add 3 to -135 and check if it produces the last number in the sequence (-132):

$-135+3=-132$

Since this matches the final given number, the missing term in the sequence is confirmed to be -135.