SOLUTION: Find the following sum . (1) {{{Sn = 1/(1*2) + 1/(2*3) + 1/(3*4)+...+}}}{{{+1/n(n+1)}}}

Algebra ->  Sequences-and-series -> SOLUTION: Find the following sum . (1) {{{Sn = 1/(1*2) + 1/(2*3) + 1/(3*4)+...+}}}{{{+1/n(n+1)}}}      Log On


   



Question 1054638: Find the following sum .
(1) Sn+=+1%2F%281%2A2%29+%2B+1%2F%282%2A3%29+%2B+1%2F%283%2A4%29%2B...%2B%2B1%2Fn%28n%2B1%29

Answer by ikleyn(52787) About Me  (Show Source):
You can put this solution on YOUR website!
.
Solved in the lesson
    - Mathematical induction for sequences other than arithmetic or geometric, Problem 4
in this site.

Notice that you have this free of charge online textbook in ALGEBRA-II in this site
    - ALGEBRA-II - YOUR ONLINE TEXTBOOK.

The referred lesson is the part of this online textbook under the topic
"Method of Mathematical induction".