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" The points ..... are used to show that some terms are left out of the expression, as it is impossible to express the whole until a particular value is given to n. "
An Introduction to Algebra: Upon the Inductive Method of Instruction - Σελίδα 229
των Warren Colburn - 1844 - 276 σελίδες
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Elements of Algebra

Charles Davies - 1842 - 358 σελίδες
...That is, the first term of an increasing arithmetical progression is equal to the last term, minus the product of the common difference by the number of terms less one. From the same formula, we also find la n-1 That is, in any arithmetical progression, the common difference...

Elementary Algebra: Embracing the First Principles of the Science

Charles Davies - 1848 - 279 σελίδες
...That is : The first term of an increasing arithmetical progression is equal to the last term, minus the product of the common difference by the number of terms less one. From the same formula, we also find _l-a That is : In any arithmetical progression, the common difference...

A Treatise on Algebra: For the Use of Schools and Colleges

Stephen Chase - 1849 - 336 σελίδες
.../; whence, obviously, Z=a-|-(n — 1)Z>. (1) That is, The last term is equal to the first term, plus the product of the common difference by the number of terms less one. NOTE. Of course, the common difference must be taken positive or negative, according aa the series...

BONNYCASTLE'S INTRODUCTION TO ALGEBRA; CONTAINING THE INDETERMINATE AND ...

JAMES RYAN - 1851
...X (a + 2d). 5. The last term of any increasing arithmetical series is equal to the first term plus the product of the common difference by the number of terms less one ; and if the series be decreasing, it will be equal to the first term minus that product. Thus, the...

New Elementary Algebra: Embracing the First Principles of the Science

Charles Davies - 1860 - 299 σελίδες
...That is : The first term of an increasing arithmetical progression is equal to the last term, minus the product of the common difference by the number of terms less one. From the same formula, we also find, , I -- a d = — — - • n — 1 That is : In any arithmetical...

The Progressive Higher Arithmetic: For Schools, Academies, and Mercantile ...

Horatio Nelson Robinson - 1860 - 432 σελίδες
...the common difference; and so on. In all cases the difference between tho two extremes is equal to the product of the common difference by the number of terms less 1. Hence the RULE. Multiply the common difference by the number of termi less 1 / add the product to...

Elementary Algebra: Embracing the First Principles of the Science

Charles Davies - 1861 - 303 σελίδες
...That is : The first term of an increasing arithmetical progression is equal to the last term, minus the product of the common difference by the number of terms less one. From the same formula, we also find U« - _ • n — 1 That is : In any arithmetical progression,...

The Elements of Algebra: Designed for Beginners

Elias Loomis - 1862 - 281 σελίδες
...that is, the first term of an increasing arithmetical progression is equal to the last term, minus the product of the common difference by the number of terms less one. (205.) If we transpose the term a, and divide by n— 1, we obtain la d= ,; »— 1' that is, in an...

New Elementary Algebra: In which the First Principles of Analysis are ...

Benjamin Greenleaf - 1864 - 324 σελίδες
...as the series is an increasing or a decreasing one. Hence the following RULE. To the first term add the product of the common difference by the number of terms less one. EXAMPLES. 1. If the first term is 5, the common difference 3, and the number of terms 20, what is the...

New Practical Arithmetic in which the Science and Its Applications are ...

Henry Bartlett Maglathlin - 1869 - 324 σελίδες
...the preceding case, the last term ll = 3-)-2 X 4, and subtracting the first term 3, we have 2 X 4, or the product of the common difference by the number of terms less one. Hence, to find the common difference, Divide the difference of the extremes by the number of terms...




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