<span>the sequence is geometric, with the common ratio being 1/6 (48 * 1/6 = 8
The formula for a geometric sequence is cr^n where "c" is a constan</span>t <span> and "r" is the common ratio =48(1/6)^n.
A geometric series converges only if the absolute value of the common ratio is < It diverges if the ratio is >or equal to 1. the ratio is 1/6, so the sequence converges.
Now in this case, the limit seems to approach 0, values can only keep getting smaller. If the limit approaches 0, then the series will converge to a definite sum S = c / (1 - are) S = 48 / (1 - 1/6) S = 57.6
series converges, has a limit of 0, sum of 57.6. hope this helps</span>
