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Hey Friends! I would really appreciate some help with this stumper I came across.

 

Compute the sum (2)/(1*2*3) + (2)/(2*3*4) + (2)/(3*4*5)........

 

Tell me if you don't understand.

Guest Jun 17, 2017
edited by Guest  Jun 17, 2017

Best Answer 

 #2
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ALL the denominators of your sequence follow this pattern:

a(n) = n^3 + 3 n^2 + 2 n (for all terms given) . Therefore, your sequence sums up to:

sum_(n=1)^1000000 2/(n^3 + 3 n^2 + 2 n)≈1/2

Guest Jun 17, 2017
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3+0 Answers

 #1
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Translate it into "Plaintext", so that we can see what you have.

Guest Jun 17, 2017
 #2
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+1
Best Answer

ALL the denominators of your sequence follow this pattern:

a(n) = n^3 + 3 n^2 + 2 n (for all terms given) . Therefore, your sequence sums up to:

sum_(n=1)^1000000 2/(n^3 + 3 n^2 + 2 n)≈1/2

Guest Jun 17, 2017
 #3
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Thank you! I appreciate it very much.

Guest Jun 18, 2017

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