| Joseph Ray - Algebra - 1866 - 406 pages
...of the series ; or, 3d, to find 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 scries... | |
| Elias Loomis - Algebra - 1873 - 360 pages
...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 \h& first order of differences. * Subtract... | |
| Science - 1875
...known. The series n3 will do well Series No 2. 1 8 7 27 19 12 64 37 18 6 125 6l 24 6 216 91 30 6 If we **subtract the first term from the second, the second from the third, the third from the fourth,** ifec., and place the remainders in a column to the right of the series ; and if we go on treating each... | |
| Webster Wells - Algebra - 1879 - 444 pages
...regular series, by means of the successive differences of its terms. 437. 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** remainders will form a new series called the first order of differences. If the differences be taken... | |
| Leonard Marshall - Algebra - 1883 - 180 pages
...finding the several orders of differences of a given series of terms is the following : — (i.) Take **the first term from the second, the second from the...third, the third from the fourth, and so on ; the** remainders will form the first order of differences. (ii.) Take the first term of this last series... | |
| Edward Albert Bowser - Algebra - 1888 - 540 pages
...Any Term of a Series. — When we have a series whose terms proceed according to any law, if we take **the first term from the second, the second from the...the fourth, and so on, the several remainders will** form a new series called the first order of differences, If the differences of the terms of this new... | |
| David Martin Sensenig - Algebra - 1890 - 492 pages
...n = oo , then AC = -¡¡ . b The Differential Method. 612. If the first term of any series be taken **from the second, the second from the third, the third from the fourth, and so on,** a new series will be formed which is called the first order of differences. If the first order of differences... | |
| Joseph William Mellor - Chemistry, Physical and theoretical - 1902 - 543 pages
...•••• x + b °1 + by § 104. " The Calculus of Finite Differences." In the series, I3, 2s, 3s, 43, 5» **subtract the first term from the second, the second...the third, the third from the fourth, and so on. The** result is a new series, 7, 19, 37, 61, 91 called the first order of differences. By treating this new... | |
| William Otto Lichtner - Factory management - 1921 - 397 pages
...the column headed "Ex." are found by substracting the time reading of the first element from that of **the second, the second from the third, the third from the fourth, and so on** to the end of the readings. Sy. Read. Ex. Notes o.oo a 0.05 0.05 b 0.08 0.03 c 0.12 0.04 d 0.17 0.05... | |
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