 | George Egbert Fisher, Isaac Joachim Schwatt - 1898 - 712 σελίδες
...term is equal to the binomial exponent. (v.) TJie coefficient of any term after the second is obtained by multiplying the coefficient of the preceding term by the exponent of a in that term, and dividing the product by a number greater by 1 than the exponent of b in that term.... | |
 | George Egbert Fisher, Isaac Joachim Schwatt - 1900 - 512 σελίδες
...binomial exponent. (v.) The coefficient of any term after the second is obtained, except for sign, by multiplying the coefficient of the preceding term by the exponent of a in that term, and dividing the product by a number greater by 1 than the exponent of b in that term.... | |
 | Wooster Woodruff Beman, David Eugene Smith - 1900 - 500 σελίδες
...of b increase from 0 to n ; 3. The first coefficient is 1, the second is n, and any other is formed by multiplying the coefficient of the preceding term by the exponent of a in that term and dividing by 1 more than the exponent of b. The proof of this theorem, which has... | |
 | William James Milne - 1901 - 476 σελίδες
...the second term is the same as the index of the required power. 5. The coefficient of any term may be found by multiplying the coefficient of the preceding term by the exponent of the first term of the binomial found in that term, and then dividing the result by the number of the term.... | |
 | George Egbert Fisher, Isaac Joachim Schwatt - 1901 - 664 σελίδες
...binomial exponent. (v.) The coefficient of any term afler the second is obtained, except for sign, by multiplying the coefficient of the preceding term by the exponent of a in that term, and dividing the product by a number greater by 1 than the exponent of b in that term.... | |
 | George Egbert Fisher - 1901 - 622 σελίδες
...binomial exponent. (v.) The coefficient of any term afler the second is obtained, except for sign, by multiplying the coefficient of the preceding term by the exponent of a in that term, and dividing the product by a number greater by 1 than the exponent of b in that term.... | |
 | Middlesex Alfred Bailey - 1902 - 336 σελίδες
...second term is the same as the exponent of the binomial; the coefficient of each succeeding term may be found by multiplying the coefficient of the preceding term by the exponent of the leading letter, and dividing by the exponent of the second letter increased by one. If the second term of the... | |
 | Louis Parker Jocelyn - 1902 - 460 σελίδες
...of the second, the exponent of the binomial. 2. The coefficient of any term after the first may be found by multiplying the coefficient of the preceding term by the exponent of the letter of arrangement in that term, and dividing the product by the number of terms thus far obtained.... | |
 | William James Milne - 1902 - 620 σελίδες
...second term is the same as the index of the required power. ñ. The coefficient of any term may be found by multiplying the coefficient of the preceding term by the exponent of the first term of the binomial found in that term, and then dividing the i-esult by t It inumber of the... | |
 | Wooster Woodruff Beman, David Eugene Smith - 1902 - 408 σελίδες
...increase by 1 from 0 to n ; 3. Tlie first coefficient is 1, the second is n, and any other is formed by multiplying the coefficient of the preceding term by the exponent of a in that term and dividing by 1 more than the exponent of b. ILLUSTRATIVE PROBLEMS 1. Expand (2 a... | |
| |
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. 
