I have a 1995 Tahoe, It has a brand new battery in it. I turned it off and on again probably 7 times & it started fine each time. I drove it probably 6-7 miles & turned it off. I started it again & there was a big hesitation like the battery was dead. Is that the Alternator going bad?

Thanks for any help!
Good call lagarbo. I just went out to start it after it had been sitting for a couple hours & no problems. Your saying the starter correct?