Thread: For what values of x will the fol owing infinite geometric sequence series...

have a finite sum
(x+1) + (x+1)^2 + (x+1)^3 +....

Geometric series converges if |r| < 1 (where r is the common ratio). Plug in x + 1 for r...
$\displaystyle |x + 1| < 1$
...and solve for x.