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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. "
Boston Journal of Philosophy and the Arts: Intended to Exhibit a View of the ... - 490 페이지
1825
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Secondary Algebra

George Egbert Fisher, Isaac Joachim Schwatt - 1900 - 512 페이지
...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....
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Academic Algebra

William James Milne - 1901 - 476 페이지
...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....
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Complete Secondary Algebra

George Egbert Fisher - 1901 - 622 페이지
...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....
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Higher Algebra

George Egbert Fisher, Isaac Joachim Schwatt - 1901 - 664 페이지
...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....
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High School Algebra

Middlesex Alfred Bailey - 1902 - 336 페이지
...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...
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Advanced Algebra for Colleges and Schools

William James Milne - 1902 - 620 페이지
...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...
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An Algebra for High Schools and Academies

Louis Parker Jocelyn - 1902 - 460 페이지
...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....
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Academic Algebra

Wooster Woodruff Beman, David Eugene Smith - 1902 - 408 페이지
...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...
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School Algebra

John Marvin Colaw - 1903 - 444 페이지
...is 1 , the S3cond 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 6. The student should carefully review...
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Standard Algebra

William James Milne - 1908 - 476 페이지
...the xewnd 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. Ï. All the terms are positive,...
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