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I am unable to find the formula for this given sequence:

{2, -6/4, 24/16, -120/64, 720/256,...}

So far, I know it's at least this:

a(sub(n)) = ((-1)^(n+1))/(4^(n-1))

Basically, all I'm having trouble with is finding the pattern between the numerators. If anybody can help me with this, I would be grateful. Thanks!
8 years ago

Answers

Steve
Looks to me like

a<sub>n</sub> = (-1)^(n-1) (n+1)!/4^(n-1)
8 years ago

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