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Math Forum » Discussions » Math Topics » discretemath

Topic: Sum of series and recurrence relation
Replies: 1   Last Post: Jan 19, 2005 12:06 PM

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Terry

Posts: 7
Registered: 1/25/05
Sum of series and recurrence relation
Posted: Jan 16, 2005 7:53 PM
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1)

I need the sum of the following series.

i pow 2 = i *i or i^2
so T(i) = i ^N / 4 ^i
T(i)= (i pow N)/(4 pow i)

I need the sum of T(0)+T(1)+T(2)......inf

Sum of T(i) where i = 0 to inf.


How do i go about this. Do we have to use integrals ?

2)
If a+b=1 and T(1)=1
how do i solve T(n)=T(an)+T(bn) + cn where c is a constant.

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