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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 "
Easy Introduction to Mathematics - Σελίδα 168
των Charles Butler - 1814
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An Introduction to Algebra: With Notes and Observations: Designed for the ...

John Bonnycastle - 1811 - 220 σελίδες
...form a new series, called the first order of differences. 2. Take the first term of this last series from the second, the second from the third, the third from the fourth, &c. and the remainders will form another new series, called the second order of differences, 3. Proceed,...

A Treatise on Algebra, in Practice and Theory: With Notes and Illustrations ...

John Bonnycastle - 1813
...problems. 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...

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

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...problems. PROBLEBT 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 Jlrst order ef differences. v 2. Take the...

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
...problems. 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 theirs* order of differences. 2. Take the first...

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

John Bonnycastle - 1829 - 312 σελίδες
...problems. 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 thf fourth, &c. and the remainders Will form a new series, calli-d the firsl or>ler of difftrencet....

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

Charles Hutton - 1831
...FBOBLEH I *. A SERIES being given, to find the several orders of differences of the successive terms. RULE i. Subtract the first term from the second, the...new series, called the first order of differences. 11. In this new series, take the first term from the second, the second from the third, &c. as before,...

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

Charles Hutton - 1831
...PROBLEM I *. A SERIES being given, to find the several orders of dif. ferences of the successive terms. RULE i. Subtract the first term from the second, the...several remainders will constitute a new series, called tJie first order of differences. n. In this new series, take the first term from the second, the second...

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

John Bonnycastle - 1834 - 312 σελίδες
...PROBLEM i. — Any series being given to find its several orders of differences. RULE. — 1. Takethe 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 fast order ofdi/erences. 2. Take the first...

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, giving...




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