The objective here is to find
![r](https://tex.z-dn.net/?f=r)
(so called common ratio):
![r=a_{n}/a_{n-1}=a_{2}/a_{1}= \frac{3}{2} : 3 = \frac{3}{2} * \frac{1}{3} = \frac{1}{2}](https://tex.z-dn.net/?f=r%3Da_%7Bn%7D%2Fa_%7Bn-1%7D%3Da_%7B2%7D%2Fa_%7B1%7D%3D%20%5Cfrac%7B3%7D%7B2%7D%20%3A%203%20%3D%20%5Cfrac%7B3%7D%7B2%7D%20%2A%20%5Cfrac%7B1%7D%7B3%7D%20%3D%20%5Cfrac%7B1%7D%7B2%7D)
So assuming the first element of sequence is 3 (as you mentioned) we now can define the recursive rule for this geometric sequence:
Manuel needs 20 liters of the 8% and 5 liters of 20% mixtures to be mixed so as to get 30 liters of a mixture of water and 10% lemon juice.
Let x represent the amount of 8% lemon juice in liters and y represent the amount of 20% lemon juice in liters.
Since Manuel wants to produce a 30 liters mixture from 8% lemon juice and 20% lemon juice, hence:
x + y = 30 (1)
Also, Manuel wants 30 liters of a mixture of water and 10% lemon juice, hence:
8% of x + 20% of y = 10% of 30 liters
0.08x + 0.2y = 3 (2)
Solving equation 1 and 2 simultaneously; multiply equation 1 by 0.2 and subtract equation 2 from the result:
0.12x = 3
x = 25 liters
x + y = 30
25 + y = 30
y = 5 liters
Manuel needs 20 liters of the 8% and 5 liters of 20% mixture
Find out more at: brainly.com/question/15024774
Exactly what was your answer for a
-3 because it reduced -3 every hour of you divide -12 by 4 you will get -3 which is the average
40p in a pound is worth 40/100 p, as it is 40p/100p. This fraction can be simplified by dividing both the numerator and the denominator by 20, to give you 2/5. So, 40p is 2/5 of <span>£1.</span>