Any geometric sequence can be expressed as:
a(n)=ar^(n-1), a=initial term, r=common ratio, n=term number
We are given that a(5)=1/16 and r=1/4 so we can say:
1/16=a(1/4)^(5-1)
1/16=a(1/4)^4
1/16=a/256
256/16=a
16=a
So the initial term is 16 so our formula is:
a(n)=16(1/4)^(n-1)
Answer:
The ratio in which the amount is shared is 16:19:13
Step-by-step explanation:
The given parameters are;
The number of days Henry worked = 8 days
The number of days Jack worked = 9.5 days
The number of days Steffi worked = 6.5 days
The sharing formula for the amount earned for the project = The ratio of the number of days worked by each one
The total number of days worked by all three = 8 days + 9.5 days + 6.5 days = 24 days
The fraction of the total number of days Henry worked = (8 days)/(24 days) = 1/3 = 16/48
The fraction of the total number of days Jack worked = (9.5 days)/(24 days) = 19/48
The fraction of the total number of days Steffi worked = (6.5 days)/(24 days) = 13/48
Therefore. the ratio in which the amount is shared = 16:19:13 (which is the same as the ratio of the number of days worked)
Answer:
2x-7
Step-by-step explanation:
7 stamps* ($2.20/ 5 stamps)= $3.08.
(Note that the unit cancels out so you get the answer)
The final answer is $3.08~
