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" In each succeeding term the coefficient is found by multiplying the coefficient of the preceding term by the exponent of a in that term, and dividing by the number of the preceding term. "
An Introduction to Algebra: Upon the Inductive Method of Instruction - Σελίδα 222
των Warren Colburn - 1844 - 276 σελίδες
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Library of Useful Knowledge: On the study and difficulties of mathematics ...

1836
...is the same as that of xr aC-'. See art [264]. Fourthly, that the coefficient of any term is formed by multiplying the coefficient of the preceding term by the exponent of x in that term, and dividing by the number of terms preceding the one in question. This rule is of...

The elements of algebra

Andrew Bell (writer on mathematics.) - 1839
...— n — 1 ), and dividing it by и ; therefore, generally. (484.) ' The coefficient of any term is found by multiplying the coefficient of the preceding term by the exponent of the leading quantity in that term, and dividing by the number denoting the place of the latter term. It is also evident...

Elements of Algebra

Charles Davies - 1842 - 358 σελίδες
...term is formed from the co-efficient of the preceding term. The co-efficient of any term is formed by multiplying the co-efficient of the preceding term by the exponent of x in that term, and dividing the product by the number of terms which precede the required term. P(m—n+l)...

Elements of algebra, by A. Ingram and J. Trotter

Alexander Ingram - 1844
...and —x* raised to the nth power is either + *""* or — *mn, according as n is even or odd. is got by multiplying the coefficient of the preceding term by the exponent of the leading quantity in that term, and dividing the product by the number of that term. 5. That when the signs of both quantities...

Elements of Algebra: Including Sturms' Theorem

Charles Davies - 1845 - 368 σελίδες
...co-efficient of any term from the co-efficient of the preceding term. The co-efficient of any term is formed by multiplying the co-efficient of the preceding term by the exponent of x in that term, and dividing the product by the number of terms which precede the required term. For...

Algebra made easy

Thomas Tate (mathematical master.) - 1847
...is 4, the same number as the given power. The coefficient of the third term is 6, and it is obtained by multiplying the coefficient of the preceding term by the exponent of the a, and dividing this product by 4x3 2, the number of this term ; thus — ~ — =6. The coefficient...

A Treatise on Algebra: For the Use of Schools and Colleges

Stephen Chase - 1849 - 336 σελίδες
...second term (ie of both x and a) is n. (5.) The coefficient of any term whatever after the first is found by multiplying the coefficient of the preceding term by the exponent of the leading quantity in that term, and dividing by the number of terms preceding the required term. a.) The exponent of...

University Algebra : Embracing a Logical Development of the Science with ...

Charles Davies - 1860 - 320 σελίδες
...OF COEFFICIENTS. The coefficient of the first term is 1 / the coefficient of any succeeding term is found by multiplying the coefficient of the preceding term by the exponent of tJie leading letter in that term, and dividing the product by the number of terms preceding the required...

New Elementary Algebra: in which the First Principles of Analysis are ...

Benjamin Greenleaf - 1863 - 324 σελίδες
...second term is the same as the exponent of the power ; and, in general, the coefficient of any term is found by multiplying the coefficient of the preceding term by the exponent of the leading letter of the same term, and dividing the product by the number which marks its place. NOTE 1. When...

New Elementary Algebra: Containing the Rudiments of Science for Schools and ...

Horatio Nelson Robinson - 1866 - 312 σελίδες
...coefficient of the leading quantity in the root. UNIVERSALLY; — The coefficient of any term may be obtained by multiplying the coefficient of the preceding term by the exponent of the leading quantity in that term, or by (he number of the term from the last, and, by the coefficient of the following...




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