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Answer :
Final answer:
The missing number in the sequence is 92.2. This number was found by keeping consistent with the arithmetic sequence provided, where each subsequent number decreases by 2.6
Explanation:
The sequence provided in your question: 100, 97.4, 94.8, _, 89.6, and 87 is actually a simple decreasing arithmetic sequence, with each term decreasing from the previous one.
If you subtract 97.4 from 100, you get a difference of 2.6. If you subtract 94.8 from 97.4, you get the same difference of 2.6. Therefore, to find the missing number (represented by the underscore), you just need to subtract 2.6 from the third term.
Hence, if 2.6 is subtracted from 94.8, it gives us a result of 92.2. So, 92.2 should replace the underscore in the sequence. Therefore, the option D) 92.2 is the right answer.
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