Wiki User
∙ 11y ago(x+y)/2=7; x+y=14; y=14-x
3=√(xy); xy=9; y=9/x
Use substitution:
14-x=9/x; 14x - x2=9; x2 - 14x +9=0
Use the quadratic formula:
x=[14±√(196-36)]/2; x=[14±√160]/2; x=[14±4√10]/2
x=7+2√10 or x=7-2√10
If x=7+2√10, then y=14-(7+2√10)=7-2√10
If x=7-2√10, then y=14-(7-2√10)=7+2√10
The first pair's geometric mean is √[(7+2√10)(7-2√10)]=√[72-(2√10)2]=√(49-40)=√9=3.
The first pair's arithmetic mean is (7+2√10 +7-2√10)/2=14/2=7
The second pair's geometric mean is √[(7-2√10)(7+2√10)]=√[72-(2√10)2]=√(49-40)=√9=3.
The second pair's arithmetic mean is (7-2√10 +7+2√10)/2=14/2=7
That's it!
Wiki User
∙ 11y agoGeometric mean of 2 and 12 is 4.898979485566356. Look at link: "Calculation of the geometric mean of two numbers".
The geometric mean of two numbers is the square root of their product. For example, the geometric mean of 4 and 25 is 10.
Geometric mean between 2 and 24 is 6.928203230275509. Look at link: "Calculation of the geometric mean of two numbers".
Neither.
The numbers are: 1-sqrt(2), 1 and 1+sqrt(2) or approximately -0.414214, 1 and 2.414214
4
1.The Geometric mean is less then the arithmetic mean. GEOMETRIC MEAN < ARITHMETIC MEAN 2.
the arithmetic mean for the set of numbers is 7.4. but the geometric mean is 6.25826929.
The mean of the numbers a1, a2, a3, ..., an is equal to (a1 + a2 + a3 +... + an)/n. This number is also called the average or the arithmetic mean.The geometric mean of the positive numbers a1, a2, a3, ... an is the n-th roots of [(a1)(a2)(a3)...(an)]Given two positive numbers a and b, suppose that a< b. The arithmetic mean, m, is then equal to (1/2)(a + b), and, a, m, b is an arithmetic sequence. The geometric mean, g, is the square root of ab, and, a, g, b is a geometric sequence. For example, the arithmetic mean of 4 and 25 is 14.5 [(1/2)(4 + 25)], and arithmetic sequence is 4, 14.5, 25. The geometric mean of 4 and 25 is 10 (the square root of 100), and the geometric sequence is 4, 10, 25.It is a theorem of elementary algebra that, for any positive numbers a1, a2, a3, ..., an, the arithmetic mean is greater than or equal to the geometric mean. That is:(1/n)(a1, a2, a3, ..., an) ≥ n-th roots of [(a1)(a2)(a3)...(an)]
3mean is the average, so 2 + 4 = 6; 6 / 2 = 3* * * * *The above is the arithmetic mean which is NOT the same thing as the geometric mean.The geometric mean of n non-negative numbers is the nth root of their product.So GM(2, 4) = sqrt(8) = 2.828 (approx).
Geometric mean of 2 and 12 is 4.898979485566356. Look at link: "Calculation of the geometric mean of two numbers".
The geometric mean of two numbers is the square root of their product. For example, the geometric mean of 4 and 25 is 10.
In a given sequence, there are two possible means calculatable: Arithmetic Mean, and Geometric Mean. The arithmetic mean, as we all know, is calculated from the sum of all the numbers divided by how many numbers there are: Sumn/n. The Geometric sum is calculated by multiplying all the numbers within the sequence together and taking the nth root of this value: (Productn)(1/n).In a geometric series, N(i)= a(ri), the geometric mean is found to be a(rn-1), where n is the number of elements within the series. this decreases or increases exponentially depending on the r value. If r1, increasing.Limitation Of Geometric Mean are:-1) Geometric mean cannot be computed when there are both negative and positive values in a series or more observations are having zero value.2)Compared to Arithmetic Mean this average is more difficult to compute and interpret.-Iwin
Any two numbers can have only one arithmetic mean. If the numbers are x and y, then their arithmetic mean is (x + y)/2.
Geometric mean between 2 and 24 is 6.928203230275509. Look at link: "Calculation of the geometric mean of two numbers".
It can be any number. Two numbers do not even determine whether the "sequence" is arithmetic, geometric or other.
Its an arithmetic progression with a step of +4.