Final answer:
To find the temperature of the water after 6 hours using the nth term of an arithmetic sequence formula, we plug in the values to get a final temperature of 60°F.
Step-by-step explanation:
The student's question involves finding the temperature of water after a certain amount of time, given that the temperature increases at a constant rate annually. This is a typical arithmetic sequence problem in mathematics.
To solve this, we will use the formula for the nth term of an arithmetic sequence, which is Tn = a + (n - 1)d, where Tn is the nth term, a is the first term, n is the term number, and d is the common difference.
Here, the initial temperature a is 50°F, the common difference d is 2°F/hour, and we want to find the temperature after 6 hours, so n = 6. Plugging these values into the formula, we get T6 = 50°F + (6 - 1)×2°F/hour = 50°F + 10°F = 60°F. Therefore, the temperature of the water after 6 hours will be 60°F.