| James Wood - Algebra - 1815 - 305 pages
...a, beginning from 0, is increased by unity, in every succeeding term. Also, the coefficient of each **term is found by multiplying the coefficient of the preceding term by the** index of x in that term, and dividing by the index of a increased by unity. * 2 6.5.4.3 , . 6.5.4.3.2... | |
| Warren Colburn - Algebra - 1825 - 372 pages
...a -|- x is Examining the formation of the above coefficients, we observe, that each coefficient was **found by multiplying the coefficient of the preceding term by the exponent of** the leading quantity a in that term, and dividing the product by the number which marks the place of... | |
| John White Webster, John Ware, Daniel Treadwell - Science - 1825
...a -\- x is Examining the formation of the above coefficients, we observe, that each coefficient was **found by multiplying the coefficient of the preceding term by the exponent of** the leading quantity a in that term, and dividing the product by the number which marks the place of... | |
| Warren Colburn - Algebra - 1828 - 276 pages
...a*x' +Tax"+x> Examining the formation of the above coefficients, we observe, that each coefficient was **found by multiplying the coefficient of the preceding term by the exponent of** the leading quantity a in that term, and dividing the product by the number which marks the place of... | |
| Alexander Ingram - Mathematics - 1830 - 462 pages
...first term is 1, that of the second is the name of the power, and in the following terms it 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... | |
| Bourdon (M., Louis Pierre Marie) - Algebra - 1831 - 326 pages
...place is formed by means of the preceding coefficient. Ihe coefficient of a term of any place is formed **by multiplying the coefficient of the preceding term by the exponent of** x in this term, and dividing the product by the number of terms which precede that which is considered,... | |
| Bourdon (M., Louis Pierre Marie) - Algebra - 1831 - 389 pages
...any term is formed from the coefficient of the preceding term. 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 the product by the number of terms which precede the required term. For,... | |
| Charles Davies - Algebra - 1835 - 374 pages
...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)... | |
| 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... | |
| Andrew Bell (writer on mathematics.) - 1839 - 498 pages
...by (m — 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.... | |
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