SOLUTION: Find the sum of the first 100 odd numbers minus the sum of the first 100 numbers

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Question 278912: Find the sum of the first 100 odd numbers minus the sum of the first 100 numbers
Answer by solver91311(24713) About Me  (Show Source):
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The sum of the first 100 odd numbers:



The sum of the first 100 numbers:



The first 100 odd minus the first 100



The first term of the resulting series () is

The last term of the resulting series () is

And there are still terms, so the sum is:



Verification that



and



and therefore



is left as an exercise for the student.

John