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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.
Elements of algebra, by A. Ingram and J. Trotter - Page 29
by Alexander Ingram - 1844

## An Introduction to Algebra Upon the Inductive Method of Instruction

Warren Colburn - Algebra - 1825 - 400 pages
...x is Examining the formation of the above coefficients, we observe, that each coefficient was found by multiplying the coefficient of the preceding term by the exponent of the leading quantity a in that term, and dividing the product by the number which marks the place of that term. Thus the...

## Boston Journal of Philosophy and the Arts: Intended to Exhibit a ..., Volume 2

Science - 1825 - 630 pages
...x is Examining the formation of the above coefficients, we observe, that each coefficient was found by multiplying the coefficient of the preceding term by the exponent of the leading quantity a in that term, and dividing the product by the number which marks the place of that term. Thus the...

## An Introduction to Algebra Upon the Inductive Method of Instruction

Warren Colburn - Algebra - 1828 - 330 pages
...+Tax"+x> Examining the formation of the above coefficients, we observe, that each coefficient was found by multiplying the coefficient of the preceding term by the exponent of the leading quantity a in that term, and dividing the product by the number which marks the place of that term. Thus the...

## A Concise System of Mathematics ...

Alexander Ingram - Mathematics - 1830 - 458 pages
...of the first term is 1, that of the second is the name of the power, and in the following terms it is got by multiplying the coefficient of the preceding...different, the odd terms have -(-, and the even terms — . 1. Raise x — v to the 7th power. Ans. xi— ". Raise ab — cd to the 5th power. Ans. a.*br-...

## Elements of Algebra: Tr. from the French of M. Bourdon, for the ..., Volume 1

Bourdon (M., Louis Pierre Marie) - Algebra - 1831 - 446 pages
...any term is formed from the coefficient of the preceding term. The coefficient of any term is formed by multiplying the coefficient of the preceding term by the exponent of x in that term, and dividing the product by the number of terms which precede the required term. For,...

## Elements of Algebra

Bourdon (M., Louis Pierre Marie) - Algebra - 1831 - 326 pages
...place is formed by means of the preceding coefficient. Ihe coefficient of a term of any place is formed by multiplying the coefficient of the preceding term by the exponent of x in this term, and dividing the product by the number of terms which precede that which is considered,...

## Elements of Algebra: Tr. from the French of M. Bourdon. Revised and Adapted ...

Charles Davies - Algebra - 1835 - 378 pages
...term is formed from the co-efficient of the preceding term. The co-efficient of any term is formed by multiplying the co-efficient of the preceding term by the exponent of x in that term, and dividing the product by the number of terms which precede the required term. P(m—n+l)...

## An Introduction to Algebra Upon the Inductive Method of Instruction

Warren Colburn - Algebra - 1836 - 286 pages
...1ax'+x' Examining the formation of the above coefficients, we observe, that each coefficient was found by multiplying the coefficient of the preceding term by the exponent of the hurling quantity a in that term, and dividing the product by the number which marks the place of that...