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Question: Sums

Question:Sums

mhk 12 Maple
December 02 2009
0

Hi all,

How can I persuade Maple to move a constant factor outside the summation so that

sum(k*x[i], i = 1 .. n)

 

simplifies to:

k*(sum(x[i], i = 1 .. n))

 

And how do I persuade Maple to reorder the summation from this:

sum(x[i]+y[i], i = k .. n)

to this:

sum(x[i], i = k .. n)+sum(y[i], i = k .. n)

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The reason I am asking is that I am trying to use Maple to show that:

'sum((obs[i]-(sum(obs[i]/n, i = 1 .. n)))^2, i = 1 .. n)'

can be calculated as follows:

sum(obs[i]^2, i = 1 .. n)-(sum(obs[i], i = 1 .. n))^2/n

Regards

Morten
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