Best Answer

There are infinitely many polynomials of order 4 that will give these as the first four numbers and any one of these could be "the" rule.

The simplest rule, based on a polynomial of order 3 is

T(n) = 60*n^3 - 360*n^2 + 673*n - 360 for n = 1, 2, 3, 4.

In order to find this polynomial you need to find the regression equation for the data set (1, 13), (2, 26), (3, 39) and (4, 412).

There are also non-polynomial solutions.

Q: How can you write an equation for 13 26 39 412?

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39

If: 2x = 26 Then: x = 13

26% = 26/100 = 13/50

26/10 = 13/5 = 2.6

0.5

13/50.

261300

Remember in multiplication that A x B is the same as B x A? Well using this rule we can write that 13 x 2 = 26 and 2 x 13 = 26.

26% = 13/50 as a fraction in its lowest terms

First, you have to have a lowest common denominator. Eg: 1/2 - 6/13 The lowest common denominator is 26, because 13 * 2 is 26. You multiply 1/2 by 13, to make the denominator 26, which equals 13/26, then multiply 6/13 by 2 to get 12/26. So the equation with the lowest common denominators now plugged in is: 13/26 - 12/26 Subtract the numerators (13 and 12), so the answer is 1/26.

10/26 = 5/13

26130