Question

Write a finite geometric series representing the total amount of water leaked after h hours. *I can't post a pic of the beaker but the fill line is at 75ml and the beaker goes 10,20,30,40,50,60,70,80,90,100*

Answer 1

so you you know any other information...?

Answer 2

The top of the page says, " Neil has a leaky faucet in his bathroom. He decides to find the amount of water leaking from the faucet over a period of time. For the first hour, he measured the volume of water that leaked by collecting it in a beaker."

Answer 3

ok... so what is the volume of water for the hour...?

Answer 4

The volume of water collected in the beaker in the first hour would be 75ml.

Answer 5

ok... so the leak is 75ml/h

so what other information do you have..?

Answer 6

For the second hour the volume is 81.25 ml.

Answer 7

what about the 3rd hour...?

Answer 8

It doesn't tell me but it says the amount of water leaking from the faucet every hour increases uniformly by (1/12) of the amount leaked in the previous hour.

Answer 9

ok... so you have the initial term 75

common ratio 13/12

so does

81.15 = 75 x 13/12..?

Answer 10

Is that a geometric series though?

Answer 11

It will be



so the initial volume is 75 ml

the common ratio is 13/12

so a turn in the series is

\[T_{n} = 75 \times (\frac{13}{12})^{n - 1}\]