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.
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
Translate it into "Plaintext", so that we can see what you have.
Thank you! I appreciate it very much.