| John Bonnycastle - Algebra - 1811 - 220 pages
...form a new series, called the first order of differences. 2. Take the first term of this last series **from the second, the second from the third, the third from the fourth,** &c. and the remainders will form another new series, called the second order of differences, 3. Proceed,... | |
| John Bonnycastle - Algebra - 1813
...problems. 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... | |
| John Bonnycastle - Algebra - 1818 - 260 pages
...problems. PROBLEBT 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 Jlrst order ef differences. v 2. Take the... | |
| 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
...problems. 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 theirs* order of differences. 2. Take the first... | |
| John Bonnycastle - Algebra - 1829 - 312 pages
...problems. 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** thf fourth, &c. and the remainders Will form a new series, calli-d the firsl or>ler of difftrencet.... | |
| Charles Hutton - Mathematics - 1831
...FBOBLEH I *. A SERIES being given, to find the several orders of differences of the successive terms. **RULE i. Subtract the first term from the second, the...new series, called the first order of differences.** 11. In this new series, take the first term from the second, the second from the third, &c. as before,... | |
| Charles Hutton - Mathematics - 1831
...PROBLEM I *. A SERIES being given, to find the several orders of dif. ferences of the successive terms. **RULE i. Subtract the first term from the second, the...several remainders will constitute a new series, called** tJie first order of differences. n. In this new series, take the first term from the second, the second... | |
| John Bonnycastle - Algebra - 1834 - 312 pages
...PROBLEM i. — Any series being given to find its several orders of differences. RULE. — 1. Takethe **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 fast order ofdi/erences. 2. Take the first... | |
| 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, giving... | |
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