| Horatio Nelson Robinson - Algebra - 1866 - 328 pages
...coefficient of the leading quantity in the root. UNIVERSALLY; — The coefficient of any term may be obtained by multiplying the coefficient of the preceding term by the exponent of the leading quantity in that term, or by (he number of the term from the last, and, by the coefficient... | |
| James Haddon - Algebra - 1871 - 244 pages
...first by the first with its index diminished by unity, and also by the second term of the binomial. The coefficient of any succeeding term is found by multiplying the coefficient and index of a in the preceding term together, and dividing by the number of terms already set down.... | |
| Edward Olney - Algebra - 1873 - 354 pages
...expansion is unity ; of the second, the exponent of the required power ; and that of any other term may be found by multiplying the coefficient of the preceding term by the exponent of the first letter in that term, and dividing the product by the exponent of the second letter + 1. 100,... | |
| Horatio Nelson Robinson - Algebra - 1874 - 340 pages
...coefficient of the leading quantity in the root. UNIVERSALLY; — The coefficient of any term may be obtained by multiplying the coefficient of the preceding term by the exponent of the leading quantity in that term, or by the number of the term from the last, and by the coefficient... | |
| William Guy Peck - Algebra - 1875 - 348 pages
...to the exponent * the power. 2°. LAW OF COEFFICIENTS. — The coefficient of the first term is 1 ; the coefficient of any succeeding term is found by...coefficient of the preceding term by the exponent of the leading letter in that term, and dividing the product by the number of terms preceding the required... | |
| James Cahill (of Dublin.) - Algebra - 1875 - 230 pages
...the expansion, and diminish from that to 1 at the end. V. The coefficient of any term after the first is found by multiplying the coefficient of the preceding term by the index of x in that term, and dividing the product by the number of that term, that is, the number denoting... | |
| Edward Olney - Algebra - 1877 - 466 pages
...expansion is unity ; of the second, the exponent of the required power; and tliat of any other term may be found by multiplying the coefficient of the preceding term by the exponent of the first letter in that term, and dividing the product by the exponent of the second letter + 1. SameU«<»*... | |
| Edward Olney - 1878 - 360 pages
...expansion is unity ; of the second, the exponent of the required power ; and that of any other term may be found by multiplying the coefficient of the preceding term, by the exponent of the first letter in that term, and dividing the product by the exponent of the second letter + 1. 190.... | |
| Edward Olney - Algebra - 1878 - 516 pages
...expansion is unity ; of the second, the exponent of the required power; and that of any other term may be found by multiplying the coefficient of the preceding term by the exponent of the first letter in that term, and dividing the product by the exponent of the second letter + 1. DEM.—... | |
| Benjamin Greenleaf - Algebra - 1879 - 350 pages
...the second term is the same as the exponent of the power ; and, in general, the coefficient of any term is found by multiplying the coefficient of the preceding term by the exponent of the leading letter of the same term, and dividing the product by the number which marks its place.... | |
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