SOLUTION: Determine whether the infinite series 1/(1*2*3) - 1/(2*3*4) + 1/(3*4*5) - 1/(4*5*6) + ... converges, and find its sum if it does. Thank you!

SOLUTION: Determine whether the infinite series 1/(123) - 1/(234) + 1/(345) - 1/(456) + ... converges, and find its sum if it does. Thank you!

Question 1184850: Determine whether the infinite series
1/(1*2*3) - 1/(2*3*4) + 1/(3*4*5) - 1/(4*5*6) + ...
converges, and find its sum if it does.
Thank you!

Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!

.

I have truncated the EXACT VALUE to the first 10 decimal places.
There is a general method of finding the exact value for similar infinite series.
If interested in the details, message me including your email.

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