Books Books 21 - 29 of 29 on Take the first term from the second, the second from the third, the third from the.... 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 An Easy Introduction to the Mathematics: In which the Theory and Practice ... - Page 190
by Charles Butler - 1814 ## Elements of Algebra: For Colleges, Schools, and Private Students, Book 2

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... ## A Treatise on Algebra

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... ## Proceedings of the Royal Philosophical Society of Glasgow, Volume 9

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... ## University Algebra

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... ## Companion to Algebra: With Numerous Examples

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... ## College Algebra: For the Use of Academies, Colleges, and Scientific Schools ...

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... ## Numbers Universalized: An Advanced Algebra, Part 2

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... ## Higher Mathematics for Students of Chemistry and Physics: With Special ...

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... 