| Davis Wasgatt Clark - 1844 - 346 pages
...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 - Algebra - 1846 - 346 pages
...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 - Algebra - 1846 - 358 pages
...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 - Algebra - 1846 - 346 pages
...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... | |
| JAMES RYAN - 1851
...:—- 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 - Algebra - 1852 - 396 pages
...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 - Algebra - 1855 - 336 pages
...— 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
...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 - Algebra - 1852 - 396 pages
...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, L.L.D. - 1868
...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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