SOLUTION: (x-1/2) - (x-2/2) + (x-3/2) - ... - (x-100/2) Please have clear steps and working out. Thanks!

Question 1010816: (x-1/2) - (x-2/2) + (x-3/2) - ... - (x-100/2)
Please have clear steps and working out. Thanks!
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
The expression has terms of the form , with alternating and signs.
On removing the brackets, the and terms cancel out.
After taking out the common factor ,
we get a sum of integer terms that can be grouped in pairs of the form .

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