 | 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 - 326 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 - 460 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 - 370 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 - 498 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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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. 
