Prove the sum converges

Question

(1)/(1+2+3......n)     n=1 to infiniti

Answer 1

I don't quite undersand your question.  

If you look at 1/1 this gives 1.  Next, 1/(1+2) is 1/3 which is roughly 0.33.  Then, 1/(1+2+3) is 1/6 which is rougly 0.17 ( i think)  If this keeps going as n tends to infinity, the value is going to tend to zero, rather than to 1.