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May 20th, 2007, 05:43 PM   #1
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Finding the formula for the following set of values.

Hello, i have tried finding the formula for the following set of values using Excel and my TI-83 but no luck.

Quote:
Originally Posted by X
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
Quote:
Originally Posted by Y
0
83
174
276
388
512
650
801
969
1154
1358
1584
1833
2107
2411
2746
3115
3523
3973
4470
5018
5624
6291
7028
7842
8740
9730
10824
12031
13363
14834
16456
18247
20224
22406
24815
27473
30408
33648
37224
41171
45529
50339
55649
61512
67983
75127
83014
91721
101333
111945
123660
136594
150872
166636
184040
203254
224466
247886
273742
302288
333804
368599
407015
449428
496254
547953
605032
668051
737627
814445
899257
992895
1096278
1210421
1336443
1475581
1629200
1798808
1986068
2192818
2421087
2673114
2951373
3258594
3597792
3972294
4385776
4842295
5346332
5901831
6517253
7195629
7944614
8771558
9684577
10692629
11805606
13034431
14391160
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May 20th, 2007, 08:28 PM   #2
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You mean you're trying to find a function such that dumping x into the function yields y? If so, will the result be linear or non-linear?
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May 21st, 2007, 12:06 AM   #3
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Quote:
Originally Posted by Infinity
You mean you're trying to find a function such that dumping x into the function yields y? If so, will the result be linear or non-linear?
Ah sorry that what i meant. Non linear.
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May 21st, 2007, 07:29 AM   #4
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What is the origin of the Y-numbers? Could you substitute their logarithms, since they seem to be increasing roughly exponentially?
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May 21st, 2007, 05:25 PM   #5
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It might help if we knew where you got the y values. How did you generate those values, and why?
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May 21st, 2007, 05:34 PM   #6
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It's clear from the differences between each term in the sequence that the derivative of this function is always positive, but from the differences between the differences between the terms of this sequence, it's equally clear that the second derivative is not always positive. This means that the function does not always increase at an ever-increasing rate.
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May 21st, 2007, 09:54 PM   #7
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I did not generate the numbers, they are numbers from a game and i would like to know if there is a function that will find out the value if i plug in x.

If its too much trouble then dont worry about it, i just thought there would be a program that would calculate it.
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May 22nd, 2007, 06:56 AM   #8
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One way to get a function that would pretty closely approximate your function would be to do a regression analysis on the points. Most calculators that I know of will only do linear regression, but there are many other programs out there that will do other types of regression.
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