Sum to infinity of an arithmetic progression

Ok, I'm just slightly confused.
I have to find the sum to infinity of a series, which turns out to be arithmetic in its nature. Is it correct to find the sum from n=1 to n=n, because you clearly cannot define n=infinity.

`in my experience.

That's probably because you don't have much experience of convergent series other than geometric ones.

But you can use "sum to infinity" for any series that converges; for example $\sum_1^\infty \frac{1}{n(n+1)} = 1$

The sum of all the positive consecutive integers to infinity is equal to -1/12.

Just this this was interesting to share

The sum of all the positive consecutive integers to infinity is equal to -1/12.

Just this this was interesting to share

Sorry can someone explain this further