Hi sir, can anyone help me understand the formula, logic behind the relationship of given numbers i.e
9454 = 3938
9845 = 1936
8143 = 1356
3399 = 2284
what i want to say is, how can i get(derive) 1936 from 9845 or 2284 from 3399, how can it be done. there must be a sequance or something. please help me out.
thanks
well, let's see. If we call the two columns x and y, we see that as x increases, y decreases and then increases. That would suggest
y = a|x-h| or y = a(x-h)^2 + k
If we substitute x-3399 for x, we get
0 2284
4744 1356
6055 3938
6446 1936
Not much help there. Doing a bit of calculating using Newton's Divided Difference method to look for a polynomial (there's a good page at "math ucla edu" we find that the lowest-degree polynomial which fits those four points is
-7.02*10^-7 x^3 + .015x^2 - 100.311x + 196455
Not much joy there. If there's a good solution found, I'd be interested in seeing it.
The fact that the 1st column isn't in order makes me suspect a typo