| Davis Wasgatt Clark - 1844 - 394 pagina’s
...the several 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... | |
| Elias Loomis - 1846 - 376 pagina’s
...PROBLEM I. (281.) 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, ¿ce. ; and the remainders will form a new series, called the FIRST ORDER OF DIFFERENCES. 2. Take t... | |
| Davis Wasgatt Clark - 1846 - 374 pagina’s
...the several 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 first order of... | |
| Elias Loomis - 1846 - 380 pagina’s
...PROBLEM I. (281.) 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, &fc. ; and the remainders will form a new series, called the FIRST ORDER OF DIFFERENCES. 2. Take the... | |
| John Bonnycastle - 1851 - 288 pagina’s
...:—- PROBLEM 1.—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... | |
| Joseph Ray - 1852 - 408 pagina’s
...particular term of the series ; or, 3rd, the sum of a finite number of its terms. If, in any series, we take the first term from the second, the second from the third, the third from the fourth, and so on, the new series thus formed is called the First order of differences. If we proceed with this new series... | |
| William Smyth - 1855 - 370 pagina’s
...— 1 THE DIFFERENTIAL METHOD. 267. Let there be any series represented by a, b, c, d, &c. ; if we subtract the first term from the second, the second from the third, and so on, the differences thus obtained will form a new series called the first order of differences.... | |
| William Smyth - 1858 - 344 pagina’s
...j Ans> THE DIFFERENTIAL METHOD. 267. Let there be any series represented by a, b, c, d, &c. ; if we subtract the first term from the second, the second from the third, and so on, the differences thus obtained will form a new series called the first order of differences.... | |
| Joseph Ray - 1852 - 420 pagina’s
...particular term of the series; or, 3rd, the sum of a finite number of its terms. If, in any series, we take the first term from the second, the second from the third, the third from the fourth, and so on, the new series thus formed is called the First order of differences. If we proceed with this new series... | |
| Elias Loomis - 1868 - 386 pagina’s
...be done by the method of differences. 369. To find the several orders of differences for any series: Subtract the first term from the second, the second from the third, the third from the fourth, etc.; we shall thus form a new series, which is called the first order of differences. Subtract the... | |
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