 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.  The elements of algebra - Page 339by Andrew Bell (writer on mathematics.) - 1839Full view - About this book
 | Fletcher Durell, Edward Rutledge Robbins - Algebra - 1909 - 296 pages
...; of the 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... | |
 | Joseph Victor Collins - Algebra - 1911 - 330 pages
...the exponent of (a — A) ?'n the left member ; also that each succeeding coefficient can be obtained by multiplying the coefficient of the preceding term by the exponent of the leading letter a, and dividing the product by the exponent of the other letter increased by 1. \. Raise (a... | |
 | William James Milne - 1911 - 360 pages
...the 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 à in that term, and dividing this product by the number of the term. 7. All the terms are positive,... | |
 | Fletcher Durell - 1914 - 458 pages
...1; of the 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 « in that term, and dividing by the number of the preceding term. IV. Signs of terms. If the binomial... | |
 | Herbert Ellsworth Slaught, Nels Johann Lennes - Algebra - 1915 - 402 pages
...coefficient of the second term is the same as the index of the power. The coefficient of each succeeding term is found by multiplying the coefficient of the preceding term by the exponent of the first letter in that term and dividing by the exponent of the second letter increased by one. * Articles... | |
 | Herbert Ellsworth Slaught, Nels Johann Lennes - Algebra - 1915 - 412 pages
...coefficient of the second term is the same as the index of the power. The coefficient of each succeeding term is found by multiplying the coefficient of the preceding term by the exponent of the first letter in that term and dividing by the exponent of the second letter increased by one. •Articles... | |
 | George William Myers, George Edward Atwood - Algebra - 1916 - 358 pages
...the expansion is 1; the coefficient of the second term is n ; 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 the product by a number 1 greater than the exponent of b in that term.... | |
 | Fletcher Durell - Algebra - 1916 - 606 pages
...1; of the 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 « in that term, and dividing by the number of the preceding term. IV. Signs of terms. If the binomial... | |
 | Florian Cajori - 1916 - 236 pages
...succeeding term. III. The coefficient of the first term is 1. The coefficient of any term after the first 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. IV. If the binomial is a + b, the signs... | |
 | Herbert Ellsworth Slaught, Nels Johann Lennes - Algebra - 1917 - 674 pages
...coefficient of the second term is the same as the index of the power. The coefficient of each succeeding term is found by multiplying the coefficient of the preceding term by the exponent of the first letter in that term and dividing by the exponent of the second letter increased by one. »Articles... | |
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