Most people would probably not guess that there are 91 fractions........from 1/10 to 1/100........including 1/10 and 1/100............seems counterintuitive.....MS Excel gives me......2.3584093...............as the sum of those 91 fractions.........now, my way of doing it.....similar to what Gauss did.....................would be to add 1/10 to 1/100...............but there is an odd number of fractions.................91................u cannot pair them up then.........but to get an average......half of 91.............is 45.50......................basically........u just multiply 45.5 to 0.11..........what the beg and end sum to.........and get a rough estimate.........MS Excel tells me.............that is 5.01............off from the actual amount..........of 2.35.........................
| 1/10 |
0.1000000 |
| 1/11 |
0.0909091 |
| 1/12 |
0.0833333 |
| 1/13 |
0.0769231 |
| 1/14 |
0.0714286 |
| 1/15 |
0.0666667 |
| 1/16 |
0.0625000 |
| 1/17 |
0.0588235 |
| 1/18 |
0.0555556 |
| 1/19 |
0.0526316 |
| 1/20 |
0.0500000 |
| 1/21 |
0.0476190 |
| 1/22 |
0.0454545 |
| 1/23 |
0.0434783 |
| 1/24 |
0.0416667 |
| 1/25 |
0.0400000 |
| 1/26 |
0.0384615 |
| 1/27 |
0.0370370 |
| 1/28 |
0.0357143 |
| 1/29 |
0.0344828 |
| 1/30 |
0.0333333 |
| 1/31 |
0.0322581 |
| 1/32 |
0.0312500 |
| 1/33 |
0.0303030 |
| 1/34 |
0.0294118 |
| 1/35 |
0.0285714 |
| 1/36 |
0.0277778 |
| 1/37 |
0.0270270 |
| 1/38 |
0.0263158 |
| 1/39 |
0.0256410 |
| 1/40 |
0.0250000 |
| 1/41 |
0.0243902 |
| 1/42 |
0.0238095 |
| 1/43 |
0.0232558 |
| 1/44 |
0.0227273 |
| 1/45 |
0.0222222 |
| 1/46 |
0.0217391 |
| 1/47 |
0.0212766 |
| 1/48 |
0.0208333 |
| 1/49 |
0.0204082 |
| 1/50 |
0.0200000 |
| 1/51 |
0.0196078 |
| 1/52 |
0.0192308 |
| 1/53 |
0.0188679 |
| 1/54 |
0.0185185 |
| 1/55 |
0.0181818 |
| 1/56 |
0.0178571 |
| 1/57 |
0.0175439 |
| 1/58 |
0.0172414 |
| 1/59 |
0.0169492 |
| 1/60 |
0.0166667 |
| 1/61 |
0.0163934 |
| 1/62 |
0.0161290 |
| 1/63 |
0.0158730 |
| 1/64 |
0.0156250 |
| 1/65 |
0.0153846 |
| 1/66 |
0.0151515 |
| 1/67 |
0.0149254 |
| 1/68 |
0.0147059 |
| 1/69 |
0.0144928 |
| 1/70 |
0.0142857 |
| 1/71 |
0.0140845 |
| 1/72 |
0.0138889 |
| 1/73 |
0.0136986 |
| 1/74 |
0.0135135 |
| 1/75 |
0.0133333 |
| 1/76 |
0.0131579 |
| 1/77 |
0.0129870 |
| 1/78 |
0.0128205 |
| 1/79 |
0.0126582 |
| 1/80 |
0.0125000 |
| 1/81 |
0.0123457 |
| 1/82 |
0.0121951 |
| 1/83 |
0.0120482 |
| 1/84 |
0.0119048 |
| 1/85 |
0.0117647 |
| 1/86 |
0.0116279 |
| 1/87 |
0.0114943 |
| 1/88 |
0.0113636 |
| 1/89 |
0.0112360 |
| 1/90 |
0.0111111 |
| 1/91 |
0.0109890 |
| 1/92 |
0.0108696 |
| 1/93 |
0.0107527 |
| 1/94 |
0.0106383 |
| 1/95 |
0.0105263 |
| 1/96 |
0.0104167 |
| 1/97 |
0.0103093 |
| 1/98 |
0.0102041 |
| 1/99 |
0.0101010 |
| 1/100 |
0.0100000 |
|
2.3584093 |
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