SOLUTION: The sum of all odd integers greater than 100 and less than 1000 is

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Question 369995: The sum of all odd integers greater than 100 and less than 1000 is

Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
first term is a1 = 101,
nth term is an = 999,
common difference is d = 2. Then an = a1 + (n-1)d, or 999 = 101 + (n-1)2,
or 898 = (n-1)2, or 449 = n-1, or n = 450. The sum is then
S+=+%28450%2F2%29%2A%28101%2B999%29+=+225%2A1100+=+247500