Question

Suppose 10 gallons of water are in a water tank, and the amount of water in the tank doubles every hour for 4 hours. If you create a geometric series model, what is the first term?
1)4
2)10
3)20
4)0

Answer 1

In this scenario, the initial amount of water in the tank is 10 gallons. Since the amount of water doubles every hour, this situation can be described using a geometric series where:

- The first term (the amount of water after 0 hours) is 10 gallons.
- The common ratio, which indicates the doubling, is 2.

Thus, the first term of the geometric series model is **10** gallons.

So the correct answer is **2) 10**.