| John Bonnycastle - Algebra - 1813
...PROBLEM I. Any series being given to find its several orders of differences. RULE. 1. Take the first term **from the second, the second from the third, the third...from the fourth, &c. and the remainders will form** a new series, called the first order of' differences. 2. Take the first term of this last series from... | |
| Charles Butler - Mathematics - 1814
...14. ^ series being given, to find the several orders of differences. RULE I. Subtract the first term **from the second, the second from the third, the third from the fourth,** and so on ; the several remainders will constitute a new series, called the first order of differences.... | |
| John Bonnycastle - Algebra - 1818 - 260 pages
...RULE. 1. Take the first term from the second, the second from the third, the third from the fourth, &c. **and the remainders will form a new series, called...2. Take the first term of this last series from the** s«cowl, the second from the third, the third from the fourth, &c. and the remainders will form another... | |
| Thomas Keith - Arithmetic - 1822 - 332 pages
.... 1296, <&c. will be 24. These orders of differences are obtained, by. subtracting the first terra **from the second, the second from the third, the third from the fourth, &c.** in Ihe series; and in each of the orders of differences. 36. If a be the first term of any series,... | |
| John Bonnycastle - Algebra - 1825 - 312 pages
...I. Any series being given to find its several orders of differences. RULE. 1 . Take the first term **from the second, the second from the third, the third...from the fourth, &c. and the remainders will form** a new series, called theirs* order of differences. 2. Take the first term of this last series from... | |
| John Bonnycastle - Algebra - 1829 - 312 pages
...or>ler of difftrencet. 2. Take the fir-M term of this las! serins from the second, the second frmn **the third, the third from the fourth, &c. and the...remainders will form another new series, called the** stcoml order of difference*. 3. Proceed, in the same manner, for the third, fourth, fifth, &c. order... | |
| Charles Hutton - Mathematics - 1831
...to find the several orders of differences of the successive terms. RULE i. Subtract the first term **from the second, the second from the third, the third from the fourth,** and so on ; the several remainders, will constitute a new series, called the first order of differences.... | |
| Mathematics - 1836
...series of quantities, o, 6, c, d, <?,/, &c., and let another series be obtained by taking the first **from the second, the second from the third, the third from the fourth,** and so on. Let this process be repeated with the second series, giving a third, with the third series,... | |
| Davis Wasgatt Clark - 1844 - 346 pages
...orders of differences belonging to the series. 1. Orders of Differences. 1. If we take the first term **from the second, the second from the third, the third from the fourth, &c.,** in the given series, the remainders will form a new series, which is called the f>rst order of differences.... | |
| Elias Loomis - Algebra - 1846 - 346 pages
...Take the first term from the second, the second from the third, the third from the. fourth, &fc. ; **and the remainders will form a new series, called...second from the third, the third from the fourth,** ifc. ; and the remainders will form a third series, called the SECOND ORDER OF DIFFERENCES. 3. Proceed... | |
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