The arithmetic mean of the 9 consecutive integers starting with m is 24. What is the arithmetic mean of 7 consecutive integers that also start with m ?
Correct answer: A. m + 3
- A. m + 3
- B. m + 1
- C. m + 2
- D. m
Explanation
The arithmetic mean of 9 consecutive integers starting with m is calculated as the middle integer, which is the 5th integer in the sequence. Therefore, the arithmetic mean is m + 4, and given that this is 24, we have m + 4 = 24, leading to m = 20. For the 7 consecutive integers starting with m, the arithmetic mean is the 4th integer, which is m + 3. Substituting m = 20, the mean is 23. Therefore, the correct answer is m + 3. Other options are incorrect as they do not align with the arithmetic mean calculation based on the sequence length provided.
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