Sum of a series?

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John Mitchell
John Mitchell 2019-10-15
评论： Matt J 2019-10-15
I'm having some trouble even finding somewhere to start with these problems, where I have to find the sum of these without using for loops:
1) 1/(1*2) + 1/(2*3)+ 1/(3*4)+ 1/(4*5)+....1/(99*100)
2) e^1-e^2+e^3-e^4....+e^99-e^100
3) x+ x^2/2 + x^3/3 + x^4/4 +.... x^10/10 for x = 0.5

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回答（1 个）

Matt J
Matt J 2019-10-15
Hint:
>> 1./(1:5)
ans =
1.0000 0.5000 0.3333 0.2500 0.2000
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John Mitchell
John Mitchell 2019-10-15
Thank you so much! I got the first one to work now, and I think I have a idea of how to do the third one, but I am still clueless on how to do the changing signs of the second one
Matt J
Matt J 2019-10-15
The second one is a geometric series with ratio r=-exp(1). It has a closed form formula.

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