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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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The Franklin Elementary Algebra

Edwin Pliny Seaver, George Augustus Walton - 1881 - 283 σελίδες
...That the co-efficient of the first term is 1 ; and the co-efficient of any term after the first may be found by multiplying the co-efficient of the preceding term by the exponent of the leading quantity in that term, and dividing the product by the number of terms that precede the required term. 248....

A University Algebra: Comprising a Compendious, Yet Complete and Thorough ...

Edward Olney - 1882
...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....

University Algebra: Embracing a Logical Development of the Science with ...

Charles Davies - 1889 - 320 σελίδες
...OF COEFFICIENTS. The coefficient of the first term is 1 y the coefficient of any succeeding term is found by multiplying the 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 term. Let...

Numbers Symbolized: An Elementary Algebra

David Martin Sensenig - 1889 - 364 σελίδες
...is one ; of the second term, the exponent of the binomial ; and that of each succeeding term may be found by multiplying the coefficient of the preceding term by the exponent of the leading letter in that term, and dividing the product by the number of that term from the beginning. Note....

Algebraic Analysis: Solutions and Exercises, Illustrating the Fundamental ...

George Albert Wentworth, James Alexander McLellan, John Cadenhead Glashan - 1889 - 418 σελίδες
...succeeding term. II. The coefficient of the first term is unity, and the coefficient of any other term is found by multiplying the coefficient of the preceding term by the exponent of a in that term, and dividing the product by the number of that preceding term. It will be observed...

Numbers Universalized: An Advanced Algebra

David Martin Sensenig - 1890 - 530 σελίδες
...is unity ; of the second term, the exponent of the binomial; and that of each succeeding term may be found by multiplying the coefficient of the preceding term by the exponent of the leading letter in that term, and dividing the product by the number of that term. Note. — The coefficients...

New Common School Question Book: Comprising Questions and Answers on All ...

Asa Hollister Craig - 1897 - 524 σελίδες
...power of the coefficient ofthe leading term in the root; and that the coefficient of any term may be found by multiplying the coefficient of the preceding term by the exponent of the leading quantity m that term and by the coefficient ofthe following quantity in the root, and dividing this result by...

Algebra for Colleges and Schools

Henry Sinclair Hall, Samuel Ratcliffe Knight - 1897 - 516 σελίδες
...of the second term is the same as the index of the binomial. (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 the result by the exponent of b plus 1. Ex. 1. Expand (a + b)«. (a +...

A School Algebra Complete

Fletcher Durell, Edward Rutledge Robbins - 1897 - 436 σελίδες
...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 ж in that term, and dividing by the exponent of a, inci'eased by 1. IV. Signs of Terms. If the binomial...

Algebra: For High Schools and Colleges

Ellen Hayes - 1897 - 226 σελίδες
...the second term is the exponent of a + b; 8. the coefficient of any particular term may be obtained by multiplying the coefficient of the preceding term by the exponent of a in that term and dividing it by the number which is one unit greater than the exponent of b in that...




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