Hello. Im About 6 Weeks Pregnant. I Had A Ultrasound

hello. Im about 6 weeks pregnant. I had a ultrasound done when I was about 5 weeks and there was just a empty sac. I become worried so I had blood work done to. I went back today for my results. On Wednesday it was 30,000 and on Friday it went to 50,000. The Dr. told me based on the blood work and not being able to see a heart beat on last week I had a failed pregnancy. Should I give up hope?