 | Warren Colburn - 1825 - 400 σελίδες
...coefficient of the third term is found by multiplying the coefficient of the second term by the exponent of a in that term, and dividing the product by the number which marks the place of that term from the left. By examining the other terms, the following general rule will be found true. Multiply... | |
 | Warren Colburn - 1828 - 330 σελίδες
...coefficient of the third term is found by multiplying the coefficient of the second term by the exponent of a in that term, and dividing the product by the number which marks the place of that term from the left. By examining the other terms, the following general rule will be found true. Multiply... | |
 | Warren Colburn - 1830 - 288 σελίδες
...rule Hence the 7th power of a -f- x is a' +7a"ir +21 a6 a;* f- 35aV + 35 a' a4 +21 a* a;' + 7acc'+*' Examining the formation of the above coefficients,...observe, that each coefficient was found by multiplying th<3 co< fficient of the preceding term by the exponent of the leading quantity a in that term, and... | |
 | Alexander Ingram - 1830 - 458 σελίδες
...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 the signs of both quantities... | |
 | Warren Colburn - 1831 - 282 σελίδες
...last term is 1, though it may be found by the rule IX 7 — =• ' Hence the 7th power of a + ж is Examining the formation of the above coefficients,...dividing the product by the number which marks the place ofthat term. Thus the coefficient of the third term was found by multiplying 7, the coefficient rf... | |
 | Bourdon (M., Louis Pierre Marie) - 1831 - 326 σελίδες
...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 σελίδες
...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,... | |
 | Warren Colburn - 1834 - 288 σελίδες
...of the last term is 1, though it may be found by the rule IX 7_, 7 Hence the 7th power of a + x is Examining the formation of the above coefficients,...the exponent of the leading quantity a in that term, arid dividing the product by the number which marks the place of that term. Thus the coefficient of... | |
 | Charles Davies - 1835 - 378 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)... | |
 | Warren Colburn - 1836 - 286 σελίδες
...7_1 7' Hence the 7th power of a -f- x is a' -f-7aea: + 21 aV f-SSaV-p- 35a3a;4 + 21 a' x* + 1ax'+x' Examining the formation of the above coefficients,...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... | |
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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. 
