If R=8, A=16, W=18, what is the formule for A to Z?
A=16, B= , C= , D= , E= , F= , G= ,
H= , I= , J= , K= , L= , M= , N= ,
O= , P= , Q= , R=8 , S= , T= , U= ,
V= , W=18, X= , Y= , Z=
Let f(1) = A, f(2) = B, f(3) = C, ...
f(25) = Y, f(26) = Z
Given that
R is the 18th letter and it is 8, so f(18) = 8
A is the 1st letter and it is 16, so f(1) = 16
W is the 23rd letter and it is 18, so f(23) = 18
Substitute in the equation
f(x) = ax² + bx + c
f(18) = 8 = a(18)² + b(18) + c
f(1) = 16 = a(1)² + b(1) + c
f(23) = 18 = a(23)² + b(23) + c
324a + 18b + c = 8
a + b + c = 16
529a + 23b + c = 18
Solve that system of equations and
get
a = 21/187, b = -487/187, 3458/187
So the formula is
f(x) = ax² + bx + c
f(x) = (21/187)x² - (487/187)x + 3458/187
f(x) = (21x² - 487x + 3458)/187
A=16, B=2568/187, C=2186/187, D=1846/187, E=1548/187,
F=76/11, G=98/17, H=906/187, I=776/187, J=688/187,
K=642/187, L=58/17, M=676/187, N=756/187, O=878/176,
P=1942/187, Q=1248/187, R=8, S=1786/187, T=2118/187,
U=2492/187, V=2908/187, W=18, X=3866/187, Y=4408/187,
Z=4992/187
Edwin
