98 power cuts off and wont start

I have a v6 98 firebird, I put the key in and turn to acc it is fine, try to start and everything blinks for a second then all power is shut off. The only way to get power back is to pop the hood and pull on the battery at which time the alarm starts flashing. If I wait a min and put it back on acc it eventually starts, on the 3 or 4 time of doing this. Anyone know what might be wrong?

My guess is a bad battery. You try to start it, you use the remaining juice in it for the blinking. You wait and it stars? Yeah I think is the battery.