Best answer:
Given , other answer is correct = 2/3 is sum of Σ (2/4^n)
To expand on the other answer
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fractions and everything is clear.
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Best answer: Given , other answer is correct = 2/3 is sum of Σ (2/4^n)
To expand on the other answer
It is good if you respond to answer
If you respond , great I understand how to do partial
fractions and everything is clear.
Then, we would know , you need no further help.
If you responded, please provide more detail I don't
understand. Then, we would know to tell you more.
If you don't respond , we expect you don't really need any help.
Just in case, you didn't understand the advice given.
A/ (n) + B/ (n+2) = 2/ (n*(n+2))
(A*(n+2) + B*n ) = 2
2a +An +Bn = 2
a= -b
2a =2
a = 1
Σ 1/(n) - 1/(n+2) = (n+2 - n ) / (n*(n+2))
2/ (n(n+2)
1st part
becomes Σ 1/ (n) -1 / (n+2)
1/1 + 1/2 + 1/3 + 1/4 + 1/5 + .... -
(-1/3) - (1/4) -(1/5) - (1/6) + .....
(so all but the 1st 2 terms of 1st part, cancel out )
= 1 + 1/2 = 1.5
so total answer = 2/3 + 1 1/2 = 1 3/6 + 4/6 = 2 1/6
Sum = 2 1/6
6 answers
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20 hours ago