 | George Egbert Fisher, Isaac Joachim Schwatt - Algebra - 1901 - 664 pages
...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.... | |
 | William James Milne - Algebra - 1901 - 462 pages
...second term is the same as the index of the required power. 5. TJie 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... | |
 | Wooster Woodruff Beman, David Eugene Smith - Algebra - 1902 - 408 pages
...those of b 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... | |
 | Wooster Woodruff Beman, David Eugene Smith - Algebra - 1902 - 410 pages
...increase by 1 from 0 £on ; 3. ÎVie Jíreí coefficient is 1, í/te second is n, <md anу oí/2er í's formed by multiplying the coefficient of the preceding term by the exponent, of a ¡n í/гaí íerí/i and dividing by 1 more i/ian the exponent of b. ILLUSTRATIVE PROBLEMS 1. Expand... | |
 | Middlesex Alfred Bailey - Algebra - 1902 - 336 pages
...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... | |
 | William James Milne - Algebra - 1902 - 620 pages
...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... | |
 | Louis Parker Jocelyn - Algebra - 1902 - 460 pages
...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.... | |
 | John Marvin Colaw - Algebra - 1903 - 444 pages
...the second is equal to the binomial exponent ; and the coefficient of any succeeding term is found 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. NOTE. The formal proof of the Binomial... | |
 | William James Milne - Algebra - 1908 - 480 pages
...second term is the same as the index of the required power. 6. The coefficient of any term may be found by multiplying the coefficient of the preceding term by the exponent of a in that term, and dividing this product by the number of the term. 1. All the terms are positive,... | |
 | Fletcher Durell, Edward Rutledge Robbins - Algebra - 1909 - 296 pages
...second term it is the index of the required power. 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 exponent of Ь increased by 1. IV. Signs of Terms. If the binomial... | |
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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. 
