Hi there, first time poster here.

I'm having trouble with infinite surds.

I understand that as $\displaystyle n$ approches infinity $\displaystyle an -an+1$ approaches zero.

I understand that the limit of the sequence is the exact value of the infinite surd.

I also know how to solve the surd by setting it equal to x and using quadratics.

But what I don't understand is how to connect any of it. I can't explain how to get from $\displaystyle an -an+1$ to the exact value.

In other words, I'm at point A and I know where point B is, I just don't know how to get there.