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I have six variables: A, B, C, D, E, F.
A = 13.67
F = 21.89
Here's the trick: I need a formula for calculating B, C, D, E such that the difference between each number and the next will be a uniform percentage: for example, if B is 9.5% greater than A, then C is 9.5% greater than B, D is 9.5% greater than C, etc.

2006-09-12 03:50:19 · 5 answers · asked by epalmer613 2 in Science & Mathematics Mathematics

5 answers

A, k A, k^2 A, k^3 A, k^4 A, k^5 A

k^5 A = 21.89, and A is 13.67

So: First calculate k^5 = 21.89/13.67

And then calculate k, k is the 5th root of the above result

Later

Ana

2006-09-12 03:59:05 · answer #1 · answered by Ilusion 4 · 0 0

To calculate the percentage (X) you will have to solve this formula. I can't help you there.

F=A(1+X)^5

2006-09-12 04:05:42 · answer #2 · answered by Barkley Hound 7 · 0 0

This is a geometric progression. The ratio r of the progression is given by r = (F/A)^(1/5) = (21.89/13.67)^(0.2). If we let a_1 = A, a_2 = B.....a_6 = F, then, for each n=1,2....6 we have a_n = A * r^(n-1)

2006-09-12 04:00:43 · answer #3 · answered by Steiner 7 · 0 0

k is the percentage divided by 100.

Then you can calculate B, C, D and E.

B = kA, etc.

2006-09-12 04:01:37 · answer #4 · answered by MathTutor 6 · 0 0

THERE ARE SIX NUMBERS. THE FIFTH ROOT OF (21.89/13.67) IS 1.098741.

B=(1.098741)*A
C=(1.098741)*B
D=(1.098741)*C
E=(1.098741)*D

2006-09-12 04:04:17 · answer #5 · answered by fcas80 7 · 0 0

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