has he given you any info on the induction process
if your body is not ready and your cervix is not ripe, then your induction could be very , very lneghty. also if you are not in active labour, it is highly unlikely your DH can stay on the antenatal ward with you
if your BP is very high and there are other indicators that this baby needs to come sooner rather than later, then go for it
if your Bishops score is 5 or less, then induction is very likely to be unsuccesful or very long process.
that is assessing the length, position, thickness of the cervix, the position of the baby's head and any dilation of the cervix.
inducing with a high head, posterior, thick , closed cervix can be very difficult and lengthy, and there is a chance you would end up with a c.section.
i hope all this has been explained to you alreeady, but i know that it is easy to presume that induction is just going to work.
lots of sex is the best thing as the semen ripens the cervix, but if your body is not ready, then it is not ready.
you can refuse induction or ask for extra monitoring instead if you feel that on balance it would be better, and you make an informed decision to wait a little.
it does not sound like there is any urgency if he is saying next weekend or the week after?