SOLUTION: if {{{1/2 }}}{{{1/3 }}}{{{1/4,}}}{{{ 1/5 }}}... {{{1/(n+1)...}}} is an infinite sequence, then t_n= (A){{{1/n}}} n is all natural numbers (B){{{1/(n+2)}}} n is all positive integ

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Question 1148527: if ... is an infinite sequence, then t_n=
(A) n is all natural numbers
(B) n is all positive integers
(C) n is all integers
(D) n > 0
(E) None of the above

Found 2 solutions by Edwin McCravy, ikleyn:
Answer by Edwin McCravy(20054)   (Show Source): You can put this solution on YOUR website!
It's not (A), for that would be  ... 

It's not (B), for that would be  ... ...

It's not (C), for that would be a "two-way" sequence that goes "left and right":

... ...

but that contains the undefined term "1/0". So that's not it. 

If the following were listed I would pick this:



I would hesitate to pick (D) for it says nothing about n being and integer.

But I would also hesitate to pick (E)  

However, after thinking about it, I would pick (D) after all because you are
given that it is an infinite sequence, so it would not be necessary to say that
n is an integer.

Edwin

Answer by ikleyn(52776)   (Show Source): You can put this solution on YOUR website!
.

Typical provocation.


Keep yourself as far as you can from teachers who give such problems.



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