SOLUTION: if the smallest of six consecutive even numbers in m+1, what is the average of the six numbers

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Question 466282: if the smallest of six consecutive even numbers in m+1, what is the average of the six numbers
Found 2 solutions by robertb, greenestamps:
Answer by robertb(5830) About Me  (Show Source):
Answer by greenestamps(13200) About Me  (Show Source):
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If the smallest of the 6 consecutive even numbers is m+1, then we need to add 2 5 times to get to the last of them:
%28m%2B1%29%2B5%2A2=m%2B11
Then the average of any set of numbers in which the difference between successive numbers is constant (the numbers form an arithmetic progression, or arithmetic sequence) is just the average of the first and last numbers:
%28%28m%2B1%29%2B%28m%2B11%29%29%2F2+=+m%2B6