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.