Konrad
02-03-2013, 08:44 AM
I must be missing something utterly obvious or getting lost in overcomplicated sophistications, but I just can't figure this "simple problem" out.
I've got some numbers:
Tier3 Tier6 Tier9
Sequence1 6 22 49
Sequence2 18 65 146
Sequence3 28 108 243
Sequence4 70 151 340
I'm supposed to determine the function used so I can calculate values for other Tiers and extend the dataset as far as Tier12 and Sequence5. I think it's possible each Sequence has a different multiplier or slightly modified formula, although I was told (by a dubious source) that all data were derived from the same function.
Complete brain blank. I've tried a thousand approaches, no success. Think I screwed up the FFT, resulting functions didn't reproduce the original data. Got a little lost in the new version of MATLAB, figured I should solve this problem first and relearn the software later. Crazy it may be, but my calculus is pretty sharp while my algebra has rusted away.
I think my most promising approximation has been a summation + exponent approach ... something like f(x)=(x*(x+1)/2)+(t^2), where x = sum of tier values (T3=1+2+3, T6=T3+4+5+6, etc) and t = an arbitrary tier factor (0,1,2).
My formula is flawed, wrong, and fugly, but bad math is the best I could do for now.
Thanx in advance for anyone who tries, lol.
I've got some numbers:
Tier3 Tier6 Tier9
Sequence1 6 22 49
Sequence2 18 65 146
Sequence3 28 108 243
Sequence4 70 151 340
I'm supposed to determine the function used so I can calculate values for other Tiers and extend the dataset as far as Tier12 and Sequence5. I think it's possible each Sequence has a different multiplier or slightly modified formula, although I was told (by a dubious source) that all data were derived from the same function.
Complete brain blank. I've tried a thousand approaches, no success. Think I screwed up the FFT, resulting functions didn't reproduce the original data. Got a little lost in the new version of MATLAB, figured I should solve this problem first and relearn the software later. Crazy it may be, but my calculus is pretty sharp while my algebra has rusted away.
I think my most promising approximation has been a summation + exponent approach ... something like f(x)=(x*(x+1)/2)+(t^2), where x = sum of tier values (T3=1+2+3, T6=T3+4+5+6, etc) and t = an arbitrary tier factor (0,1,2).
My formula is flawed, wrong, and fugly, but bad math is the best I could do for now.
Thanx in advance for anyone who tries, lol.