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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. "
An Introduction to Algebra: Upon the Inductive Method of Instruction - Σελίδα 222
των Warren Colburn - 1844 - 276 σελίδες
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Elementary Algebra: Second Year Course

Florian Cajori - 1916
...is 1 and increases by 1 in each succeeding term. III. 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 divided by one more than the exponent of b. IV. If the binomial is a + b, the signs...

Durell's School Algebra

Fletcher Durell - 1916 - 523 σελίδες
...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...

Elementary Algebra

George William Myers, George Edward Atwood - 1916 - 338 σελίδες
...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....

Complete Algebra

Herbert Ellsworth Slaught, Nels Johann Lennes - 1917 - 624 σελίδες
...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...

Advanced Algebra

Joseph Victor Collins - 1918 - 342 σελίδες
...the exponent of (a — A) in 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...

Elementary Algebra with a Table of Logarithms

Julius Lederer Neufeld - 1920 - 383 σελίδες
...second term is equal to the exponent of the first term. 5. The coefficient of each succeeding term is found by multiplying the coefficient of the preceding term by the exponent of a and dividing that product by one more than the exponent of b. 6. In finding any power of o — 6,...

A Second Book in Algebra

Fletcher Durell, Elmer Ellsworth Arnold - 1920 - 330 σελίδες
...coefficient of the second term 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 number of the preceding term. IV. Signs of terms. If the binomial...




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