The mean of nine consecutive uneven numbers is 53. What is the least number?*
Question
The mean of nine consecutive uneven numbers is 53. What is the least number?*
Solution
Sure, here is the step by step solution:
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The mean of a set of consecutive numbers (even or odd) is always the middle number. This is because the numbers are evenly distributed around the mean.
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Since we know the mean is 53, and there are nine consecutive odd numbers, the middle number is the fifth one, which is 53.
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To find the smallest number, we need to find the first number in the sequence. Since these are consecutive odd numbers, we subtract 2 from 53 four times (because we want to get to the first number from the fifth number).
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So, 53 - 2*4 = 53 - 8 = 45.
Therefore, the smallest number in this sequence of nine consecutive odd numbers is 45.
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