MATHEMATICS: WEBSTER AND FISHER 81 
1 z + 1 z 
Below the line * * * *, second differences are negligible. Prefix the sign — to every value 
2 
0 
1 
2 
3 
4 
5 
6 
7 
8 
9 
1 
.10 
3.7158 
3.6710 
3.6270 
3 . 5839 
3.5417 
3 . 5004 
3 . 4598 
3.4201 
3.3811 
3 . 3429 
1 
.11 
3.3054 
3.2687 
3.2326 
3.1972 
3.1624 
3.1283 
3.0948 
3.0619 
3.0296 
2.9979 
1 
.12 
2.9667 
2.9360 
2.9059 
2.8764 
2.8473 
2.8187 
2.7906 
2.7629 
2.7358 
2.7090 
* * * 
* * * 
* * * 
* * * 
* * * 
* * * 
* * * 
* * * 
* * * 
* * * 
1 
.13 
2.6827 
2 . 6569 
2.6314 
2.6063 
2.5817 
2.5574 
2.5335 
2.5100 
2.4869 
2.4641 
1 
.14 
.4416 
.4195 
.3977 
.3763 
.3551 
.3343 
.3138 
.2935 
.2736 
.2540 
1 
.15 
.2346 
.2155 
.1967 
.1781 
.1598 
.1418 
.1240 
.1064 
.0891 
.0720 
1 
.16 
.0551 
.0385 
.0221 
.0059 
1.9899 
1.9741 
1.9586 
1.9432 
1.9280 
1.9130 
1 
.17 
1.8982 
1.8836 
1.8692 
1.8550 
.8409 
.8270 
.8133 
.7998 
.7864 
.7731 
1 
.18 
.7601 
.7472 
.7344 
.7218 
.7093 
.6970 
.6849 
.6728 
.6609 
.6492 
1 
.19 
.6376 
.6261 
.6147 
.6035 
.5924 
.5814 
.5706 
.5598 
.5492 
.5387 
1 
.20 
1.5283 
1.5180 
1.5079 
1.4978 
1.4879 
1.4870 
1.4683 
1.4587 
1.4491 
1.4397 
1 
.21 
.4304 
.4211 
.4120 
.4030 
.3940 
.3851 
.3764 
.3677 
.3589 
.3506 
1 
.22 
.3421 
.3338 
.3255 
.3174 
.3093 
.3012 
.2933 
.2854 
.2776 
.2699 
1 
.23 
.2623 
.2547 
.2472 
.2398 
.2325 
.2252 
.2180 
.2108 
.2037 
.1967 
1 
24 
.1898 
.1829 
.1760 
.1693 
.1626 
.1559 
.1494 
.1428 
.1364 
.1300 
1 
25 
.1236 
.1173 
.1111 
.1049 
.0988 
.0927 
.0867 
.0807 
.0748 
.0689 
1 
26 
.0631 
.0573 
.0516 
.0459 
.0403 
.0347 
.0292 
.0237 
.0183 
.0129 
1 
27 
.0076 
.0023 
0.9970 
0.9918 
0.9866 
0.9815 
0.9764 
0.9713 
0.9663 
0.9614 
1 
28 
0.9564 
0.9516 
.9467 
.9419 
.9371 
.9324 
.9377 
.9230 
.9184 
.9138 
1 
29 
.9093 
.9047 
.9003 
.8958 
.8914 
.8870 
.8827 
.8784 
.8741 
.8698 
1 
30 
0.8656 
0.8614 
0.8573 
0.8532 
0.8491 
0.8450 
0.8410 
0.8370 
0.8330 
0.8291 
1 
31 
.8251 
.8212 
.8174 
.8136 
.8098 
.8060 
.8022 
.7985 
.7948 
.7912 
1 
32 
.7875 
.7839 
.7803 
.7767 
.7732 
.7697 
.7662 
.7627 
.7593 
.7559 
1 
33 
.7525 
.7491 
.7458 
.7424 
.7391 
.7359 
.7326 
.7294 
.7261 
.7230 
1 
34 
.7198 
.7166 
.7135 
.7104 
.7073 
.7042 
.7012 
.6982 
.6952 
.6922 
1 
35 
.6892 
.6863 
.6833 
.6804 
.6775 
.6747 
.6718 
.6690 
.6662 
.6634 
1 
36 
.6606 
.6578 
.6551 
.6524 
.6497 
.6470 
.6443 
.6416 
.6390 
.6364 
1 
37 
.6338 
.6312 
.6286 
.6260 
.6235 
.6209 
.6184 
.6159 
.6134 
.6110 
1 
38 
.6085 
.6061 
.6037 
.6013 
.5989 
.5965 
.5941 
.5918 
.5894 
.5871 
1 
39 
.5848 
.5825 
.5802 
.5780 
.5757 
.5735 
.5712 
.5690 
.5668 
.5646 
1.40 
0.5625 
0.5603 
0.5581 
0.5560 
0.5539 
0.5518 
0.5497 
0.5476 
0.5455 
0.5434 
1 
41 
.5414 
.5393 
.5373 
.5353 
.5333 
.5313 
.5293 
.5273 
.5253 
.5234 
1 
42 
.5215 
.5195 
.5176 
.5157 
.5138 
.5119 
.5100 
.5082 
.5063 
.5045 
1 
43 
.5026 
.5008 
.4990 
.4972 
.4954 
.4936 
.4918 
.4900 
.4883 
.4865 
1 
44 
.4848 
.4831 
.4813 
.4796 
.4779 
.4762 
.4745 
.4729 
.4712 
.4695 
1 
45 
.4679 
.4663 
.4646 
.4630 
.4614 
.4598 
.4582 
.4566 
.4550 
.4534 
1 
46 
.4519 
.4503 
.4488 
.4472 
.4457 
.4442 
.4426 
.4411 
.4396 
.4381 
1 
47 
.4366 
.4352 
.4337 
.4322 
.4308 
.4293 
.4279 
.4264 
.4250 
.4236 
1 
48 
.4222 
.4208 
.4194 
.4180 
.4166 
.4152 
.4138 
.4125 
.4111 
.4097 
1 
49 
.4084 
.4071 
.4057 
.4044 
.4031 
.4018 
.4005 
.3991 
.3979 
.3966 
