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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 ... - Σελίδα 164
των John Bonnycastle - 1811 - 220 σελίδες
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A Treatise on Algebra, in Practice and Theory: With Notes and Illustrations ...

John Bonnycastle - 1813
...PROBLEM I. 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 first term of this last series from...

Easy Introduction to Mathematics, Τόμος 2

Charles Butler - 1814
...14. ^ series being given, to find the several orders of differences. RULE I. Subtract the first term from the second, the second from the third, the third from the fourth, and so on ; the several remainders will constitute a new series, called the first order of differences....

An Introduction to Algebra: With Notes and Observations : Designed for the ...

John Bonnycastle - 1818 - 260 σελίδες
...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...2. Take the first term of this last series from the s«cowl, the second from the third, the third from the fourth, &c. and the remainders will form another...

The Complete Practical Arithmetician: Containing Several New and Useful ...

Thomas Keith - 1822 - 332 σελίδες
.... 1296, <&c. will be 24. These orders of differences are obtained, by. subtracting the first terra from the second, the second from the third, the third from the fourth, &c. in Ihe series; and in each of the orders of differences. 36. If a be the first term of any series,...

An Introduction to Algebra: With Notes and Observations, Designed for the ...

John Bonnycastle - 1825 - 312 σελίδες
...I. 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 theirs* order of differences. 2. Take the first term of this last series from...

An Introduction to Algebra, with Notes and Observations: Designed for the ...

John Bonnycastle - 1829 - 312 σελίδες
...or>ler of difftrencet. 2. Take the fir-M term of this las! serins from the second, the second frmn the third, the third from the fourth, &c. and the...remainders will form another new series, called the stcoml order of difference*. 3. Proceed, in the same manner, for the third, fourth, fifth, &c. order...

A Course of Mathematics: For the Use of Academies, as Well as ..., Τόμος 1

Charles Hutton - 1831
...to find the several orders of differences of the successive terms. RULE i. Subtract the first term from the second, the second from the third, the third from the fourth, and so on ; the several remainders, will constitute a new series, called the first order of differences....

Library of Useful Knowledge: Mathematics I.

1836
...series of quantities, o, 6, c, d, <?,/, &c., and let another series be obtained by taking the first from the second, the second from the third, the third from the fourth, and so on. Let this process be repeated with the second series, giving a third, with the third series,...

Elements of Algebra: Embracing ... the Theory and Application of Logarithms ...

Davis Wasgatt Clark - 1844 - 346 σελίδες
...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 differences....

A Treatise on Algebra

Elias Loomis - 1846 - 346 σελίδες
...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...second from the third, the third from the fourth, ifc. ; and the remainders will form a third series, called the SECOND ORDER OF DIFFERENCES. 3. Proceed...




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