 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.  The elements of algebra - Página 339por Andrew Bell (writer on mathematics.) - 1839Vista completa - Acerca de este libro
 | James Wood - 1815 - 338 páginas
...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 - 1825 - 400 páginas
...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 that term. Thus the... | |
 | 1825 - 630 páginas
...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 that term. Thus the... | |
 | Warren Colburn - 1828 - 330 páginas
...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 that term. Thus the... | |
 | Alexander Ingram - 1830 - 458 páginas
...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...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 are alike, all the... | |
 | Bourdon (M., Louis Pierre Marie) - 1831 - 326 páginas
...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) - 1831 - 446 páginas
...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 - 1835 - 378 páginas
...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 - 1836 - 286 páginas
...+ 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... | |
 | 1836 - 530 páginas
...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... | |
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