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 Βιβλία Βιβλία 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. An Introduction to Algebra: Upon the Inductive Method of Instruction - Σελίδα 222
των Warren Colburn - 1844 - 276 σελίδες
Πλήρης προβολή - Σχετικά με αυτό το βιβλίο ## Text-book of Algebra: With Exercises for Secondary Schools and ..., Μέρος 1

George Egbert Fisher, Isaac Joachim Schwatt - 1898 - 683 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.... ## Secondary Algebra

George Egbert Fisher, Isaac Joachim Schwatt - 1900 - 442 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.... ## Elements of Algebra

Wooster Woodruff Beman, David Eugene Smith - 1900 - 430 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 - 444 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.... ## Higher Algebra

George Egbert Fisher, Isaac Joachim Schwatt - 1901 - 615 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.... ## Complete Secondary Algebra

George Egbert Fisher - 1901
...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.... ## High School Algebra

Middlesex Alfred Bailey - 1902 - 297 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... ## An Algebra for High Schools and Academies

Louis Parker Jocelyn - 1902 - 445 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.... ## Advanced Algebra for Colleges and Schools

William James Milne - 1902 - 608 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... 