Explanation:
A sequence is a list of numbers.
A <em>geometric</em> sequence is a list of numbers such that the ratio of each number to the one before it is the same. The common ratio can be any non-zero value.
<u>Examples</u>
- 1, 2, 4, 8, ... common ratio is 2
- 27, 9, 3, 1, ... common ratio is 1/3
- 6, -24, 96, -384, ... common ratio is -4
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<u>General Term</u>
Terms of a sequence are numbered starting with 1. We sometimes use the symbol a(n) or an to refer to the n-th term. The general term of a geometric sequence, a(n), can be described by the formula ...
a(n) = a(1)×r^(n-1) . . . . . n-th term of a geometric sequence
where a(1) is the first term, and r is the common ratio. The above example sequences have the formulas ...
- a(n) = 2^(n -1)
- a(n) = 27×(1/3)^(n -1)
- a(n) = 6×(-4)^(n -1)
You can see that these formulas are exponential in nature.
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<u>Sum of Terms</u>
Another useful formula for geometric sequences is the formula for the sum of n terms.
S(n) = a(1)×(r^n -1)/(r -1) . . . . . sum of n terms of a geometric sequence
When |r| < 1, the sum converges as n approaches infinity. The infinite sum is ...
S = a(1)/(1-r)
Well, if you want the maximum number of splits, then you want to make
each individual split as small as possible.
That's 2/3 acre. How many will that give you ?
(15 and 1/4) divided by (2/3)
= (15.25) / (0.666...) = 22.875 pieces .
The maximum number of 2/3-acre lots you can sell is 22 lots.
Then you have 58.3% of an acre of land left over that you can't sell
because it's less than 2/3 acre. Sadly, that 58.3% of an acre is just
about the size of the lot that I've been living n for almost 30 years.
You really know how to rub it in, dontcha !
Please put more details in the question
Answer:
4 gallons.
Step-by-step explanation:
Reading the top point on the graph we see that 48 gallons of white paint mix with 12 gallons of black Paint.
So 1 gallon of black paint is mixed with 48/12 = 4 gallons of white paint.
