SOLUTION: Find the difference between the sum of all odd numbers and even numbers from 25 to 100? Method please.

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Question 478068: Find the difference between the sum of all odd numbers and even numbers from 25 to 100?
Method please.

Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
The number of odd integers from 25 to 99:
99 = 25 + (n-1)2 ==> 74 = (n-1)2 ==> 37 = n-1 ==> n = 38
==> S%5Bo%5D+=+%2838%2F2%29%2825+%2B+99%29+=+19%2A124+=+2356
The number of even integers from 26 to 100:
100 = 26 + (n-1)2 ==> 74 = (n-1)2 ==> 37 = n-1 ==> n = 38
==> S%5Be%5D+=+%2838%2F2%29%2826+%2B+100%29+=+19%2A126+=+2394
==> S%5Be%5D+-+S%5Bo%5D+=+2394+-+2356+=+38.