Final answer:
To find the missing term in the arithmetic series, the known terms (128, 84, 32) are summed up, and this sum is subtracted from the total sum required (254). The calculation results in 10, which is not one of the provided options, indicating a possible mistake in the question.
Step-by-step explanation:
The question requires us to find the missing term in the given arithmetic series that results in a specific sum. The series given is 128 + 84 + 32 + [Blank], and the sum of the series should equal 254. To find the missing term, we need to subtract the sum of the known terms from the total sum required.
First, let's add the known terms: 128 + 84 + 32 = 244.
Now, we calculate the missing term by subtracting this sum from the desired total sum of 254: 254 - 244 = 10.
Therefore, the missing term in the series is 10, which is not listed in the options provided. There might be a mistake in the question as none of the options (A) 30, (B) 40, (C) 50, or (D) 60 match the correct answer. The question should be revised for accuracy.