 | 1836 - 530 σελίδες
...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 σελίδες
...— 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... | |
 | Charles Davies - 1842 - 368 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)... | |
 | Alexander Ingram - 1844 - 262 σελίδες
...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... | |
 | Charles Davies - 1845 - 382 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... | |
 | Thomas Tate (mathematical master.) - 1847 - 138 σελίδες
...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... | |
 | Stephen Chase - 1849 - 348 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... | |
 | Charles Davies - 1860 - 332 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... | |
 | Benjamin Greenleaf - 1863 - 338 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... | |
 | Horatio Nelson Robinson - 1866 - 328 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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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. 
