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

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) (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 . In one case the series will converge, and in the other case it will not.
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