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" 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. "
An Introduction to Algebra: With Notes and Observations: Designed for the ... - Page 164
by John Bonnycastle - 1811 - 220 pages
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Proceedings of the Royal Philosophical Society of Glasgow, Volume 9

Royal Philosophical Society of Glasgow - Science - 1875 - 432 pages
...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...
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University Algebra

Webster Wells - Algebra - 1879 - 468 pages
...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 in this new series in like manner, we obtain a series called the second...
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Companion to Algebra

Leonard Marshall - 1883 - 184 pages
...the third from the fourth, and so on ; the remainders will form the first order of differences. (a.) Take the first term of this last series from the second, the second from the third, and so on ; the remainders will form the second order of differences. (iii.) Proceed in the same manner...
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Companion to Algebra: With Numerous Examples

Leonard Marshall - Algebra - 1883 - 198 pages
...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...
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College Algebra: For the Use of Academies, Colleges, and Scientific Schools ...

Edward Albert Bowser - Algebra - 1888 - 868 pages
...term from the second, the second from the third, the third from 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 series be taken in the same, manner, we shall obtain another...
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Numbers Universalized: An Advanced Algebra, Part 2

David Martin Sensenig - Algebra - 1890 - 204 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...
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Higher Mathematics for Students of Chemistry and Physics: With Special ...

Joseph William Mellor - Chemistry, Physical and theoretical - 1902 - 620 pages
...104. " The Calculus of Finite Differences." In the series, I3, 2s, 3s, 43, 5» subtract the first term from the second, the second from 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...
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Time Study and Job Analysis as Applied to Standardization of Methods and ...

William Otto Lichtner - Factory management - 1921 - 432 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...
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Junior Mathematics, Book 1

Ernst Rudolph Breslich - Mathematics - 1925 - 302 pages
...segment to the nearest sixteenth of an inch. Subtract their lengths in the following order: the first from the second, the second from the third, the third from the fourth, and the fourth from the fifth. State your results in the following form: CD-AB= , GH-EF= , EF-CD= ,...
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