SOLUTION: Find -4+((100*(pi^2))/2!)-((2500*(pi^4))/4!)+((62500*(pi^6))/6!)-...

SOLUTION: Find -4+((100(pi^2))/2!)-((2500(pi^4))/4!)+((62500*(pi^6))/6!)-...

Question 250953: Find
-4+((100*(pi^2))/2!)-((2500*(pi^4))/4!)+((62500*(pi^6))/6!)-...

Answer by drk(1908) (Show Source): You can put this solution on YOUR website!
We can create a formula for the alternating sum. It might look a little messy:
SUM(n=0 to inf.) (-1)^n^2*pi^(2n+2) / (2n+2)factorial(!)
If we sum all of this, we get 8.
Now, -4 + 8 = 4.

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