SOLUTION: The expression 1/1.2 + 1/1.3 + 1/1.4 +......+ 1/n(n+1) for any natural number n is (a) always greater than 1 (b)always less than 1 (c) always equal to 1 (d)not definite

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: The expression 1/1.2 + 1/1.3 + 1/1.4 +......+ 1/n(n+1) for any natural number n is (a) always greater than 1 (b)always less than 1 (c) always equal to 1 (d)not definite      Log On


   

Question 141136: The expression 1/1.2 + 1/1.3 + 1/1.4 +......+ 1/n(n+1) for any natural number n is
(a) always greater than 1 (b)always less than 1
(c) always equal to 1 (d)not definite
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
I'm a little concerned because the first three terms do not fit the pattern of the described nth term. If the nth term is correct, then the first term would be 1/2, the second 1/6, the third, 1/12, etc. On the other hand if you really meant to follow the pattern you did establish in the first three terms, then the nth term should look something like 1%2F%281%2B%28%28n%2B1%29%2F10%29%29. In one case the series will converge, and in the other case it will not.