23)   Does the following infinite geometric series diverge or converge? Explain. 1/7+1/28+1/112+1/448+....It diverges; it has a sum.It converges; it does not have a sum.It diverges; it does not have a sum.It converges; it has a sum.

it diverges; it does not have a sum.  the sum of a geometric series is given by a /(1-r) where a is the first term and the r is the ratio between the terms. r=3 in the series you have given . The absolute value of r must be less then 1 for a geometric series to converge.