First dr appointment question

I have my first dr appointment scheduled for when I will be 10 weeks. I'm 6 weeks now and was wondering if that is too long to wait. From what I read I thought there was another appointment that should happen before that time between 6 and 8 weeks to hear the heartbeat and then the ultrasound at 9 or 10 weeks. Is this too long to wait? Or is this normal? 

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