| Warren Colburn - Algebra - 1825 - 400 pages
...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 that term. Thus the... | |
| Science - 1825 - 630 pages
...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 that term. Thus the... | |
| Warren Colburn - Algebra - 1828 - 330 pages
...+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 that term. Thus the... | |
| Alexander Ingram - Mathematics - 1830 - 458 pages
...of the 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...different, the odd terms have -(-, and the even terms** — . 1. Raise x — v to the 7th power. Ans. xi— ". Raise ab — cd to the 5th power. Ans. a.*br-... | |
| Bourdon (M., Louis Pierre Marie) - Algebra - 1831 - 446 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,... | |
| 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,... | |
| Charles Davies - Algebra - 1835 - 378 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)... | |
| Warren Colburn - Algebra - 1836 - 286 pages
...1ax'+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** hurling quantity a in that term, and dividing the product by the number which marks the place of that... | |
| Mathematics - 1836 - 530 pages
...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 - 500 pages
...— 1 ), and dividing it by и ; therefore, generally. (484.) ' The coefficient of any term is found **by multiplying the coefficient of the preceding term...of the leading quantity in that term, and dividing** by the number denoting the place of the latter term. It is also evident that the first term is the... | |
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