Topic: Sequence of Tense,

Best Answer Explained in Below-:

The correct answer to the sentence "Father told me that he ____." is option D: "would help me." This choice is appropriate because it aligns with the rules of reported speech, which is used to convey what someone else has said without quoting them directly.

When reporting speech, we often shift the verb tense back one step to convey the time frame of the statement accurately. In this case, the original statement made by "Father" would likely have been in the future tense, such as "I will help you." When transforming this into reported speech, the future tense "will" changes to "would," which reflects an action that was promised or intended in the past.

The other options have various issues with grammatical correctness:
- A) "will help me" is in present future tense and does not reflect the back-shifting required in reported speech.
- B) "would be help me" is grammatically incorrect; "be helping" should not be used here.
- C) "will be helping me" also improperly retains the future tense instead of shifting to "would."

Thus, option D is the only correct choice, accurately reflecting the tense and structure needed for proper reported speech.