8+6+9/2+27/8+... Find the sum of the convergent series.

8+6+9/2+27/8+........
Let's find the common ratio of the terms:
r=a_2/a_1=6/8=3/4
r=a_3/a_2=(9/2)/6=9/12=3/4
So this is a geometric sequence with common ratio of 3/4
S_oo=a/(1-r)  where a is the first term
S=8/(1-3/4)
S=8/(1/4)
S=32
The sum of the given convergent series is 32.