Yes, it does. "One term in the series", taking n= k is . The "one before" is . So "one term in the series, divided by the one before" is .

The same thing "2" has to do with "1+ 1"! ItHere is the formula for :

What would go in the numerator and denominator, in this case?

Anyhow since then the geometric series does NOT diverge

But here is another question. Now, we have to find the sum. Is it possible that, after this point, the series could diverge?

- The infinite series converges. But what does this have to do with the sum?isthe value of the sum: .