I was induced at 36 weeks 5 days, a week before my official induction date.
I'm glad you're on your birthing ball - they're kind of fun, as well as useful : D
Ok, so it is possible that the sweep was offered because you're a first time mum. I spoke to my consultant a lot about induction because I was worried about a C section. She said it was easier to induce women who had already given birth. But personally I think some women just respond better than others. I know I didn't respond that well and it took ages. So giving you a sweep could just give you that little bit of an advantage.
You've still got a chance to go into labour naturally. Don't give up until the last minute! I was having back pains and knew my labour would start soon, but unfortunately I had to be induced before my body was ready to give birth by itself. You have a chance of a natural labour, so keep on bouncing! : D
All the best. X