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Βιβλία Βιβλία 1 - 10 από 39 για That is, the sum of the terms of an arithmetical progression is equal to half the....
" That is, the sum of the terms of an arithmetical progression is equal to half the sum of the two extremes multiplied by the number of terms. "
A Theoretical and Practical Arithmetic: In which the Principles of that ... - Σελίδα 159
των Bézout - 1825 - 236 σελίδες
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The Arithmetical Expositor, Or, A Treatise on the Theory and ..., Τόμος 1

Enoch Lewis - 1824
...from, the given extreme, according as the less or greater is given, will produce the required extreme. Half the sum of the extremes multiplied by the number of terms, will produce the sum of the series. EXAMPLES. 1. The least term of an equidifFerent series is 1, the...

A New and Easy Introduction to the Mathematics: Containing. A system of ...

Ira Wanzer - 1831 - 396 σελίδες
...the common difference by the number of terms less 1. THEOREM 4. — The sum of all the terms in any arithmetical progression, is equal to half the sum of the extremes multiplied by the number of terms ; or the sum of the extremes multiplied by the number of the terms, gives double the sum of the series....

A New Introduction to the Science of Algebra...

Silas Totten - 1836 - 304 σελίδες
...extremes (80), we shall have in a progression of n terms, and dividing by 2, Hence we conclude, that the sum of the terms of an arithmetical progression is equal to the sum of the extremes, multiplied by the number of terms, and divided by 2 (Arith. 64). (84.) From...

Elements of algebra

Bourdon (Louis Pierre Marie, M.) - 1838 - 355 σελίδες
...a+l, b-\-k, c+i .... are equal to each other, and their number equal to n, 2S=(a+l)n, or S= That is, the sum of the terms of an arithmetical progression is equal to half the sum of the two extremes multiplied by the number of terms. 1. The extremes are 2 and 16, and the number of terms...

Elements of Algebra

Bourdon (M., Louis Pierre Marie) - 1839 - 355 σελίδες
...all the parts a-\-l, b+k, c+z .... are equal to each other, and their number equal to n, That is, (he sum of the terms of an arithmetical progression is equal to half the sum of the two extremes multiplied by the number of terms. 1. The extremes are 2 and 16, and the number of terms...

Higher Arithmetic: Designed for the Use of High Schools, Academies, and Colleges

George Roberts Perkings - 1841 - 252 σελίδες
...many years is the common difference of their ages 4 CASE VI. By case II. we know that the sum of all the terms of an arithmetical progression is equal to half the sum of the extremes multiplied into the number of terras; therefore the number of terms is equal to the sum of all the terms divided...

Elements of Algebra

Charles Davies, Bourdon (M., Louis Pierre Marie) - 1842 - 358 σελίδες
...a-\-l, b+k, c+i .... are equal to each other, and their number equal to n, 2S=(a+l)n, or S= That is, the sum of the terms of an arithmetical progression is equal to half the sum of the two extremes multiplied by the number of terms. 1. The extremes are 2 and 16, and the number of terms...

Elements of Arithmetic and Algebra: For the Use of the Royal Military College

William Scott - 1844 - 500 σελίδες
...of the progression •+- a . b . c . d ..... i . k . I is, therefore, Therefore S= - - 2. In words, the sum of the terms of an arithmetical progression is equal to half the sum of the extreme terms multiplied by the number of terms. 186. Five quantities, a, ?, I, n, S, enter into the...

Elements of Algebra: Including Sturm's Theorem

1845 - 368 σελίδες
...n, by which we designate the number of terms in each series, we have 2S = (a + I) n, or S= That is, the sum of the terms of an arithmetical progression, is equal to half the sum of the two extremes multiplied by the number of terms. * EXAMPLES. 1. The extremes are 2 and 16, and the number...

The American Statistical Arithmetic: Designed for Academies and Schools

Francis Henney Smith - 1845 - 276 σελίδες
...there are terms, that is, eight times ; and hence, in an arithmetical progression, the sum of its terms is equal to half the sum of the extremes, multiplied by the number of terms. EXAMPLES. 1. Find the sum of the terms of an arithmetical series whose first term is 3, last term 19,...




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