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" Given, the first term a, the common difference d, and the number of terms n, to find s, the sum of the series. If we take an arithmetical series, of which the first term is 3, common difference 2, and number of terms 5, it may be written in the following... "
Elements of Algebra: For Colleges, Schools and Private Students - Page 255
by Joseph Ray - 1866 - 406 pages
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Ray's Algebra, Part First: On the Analytic and Inductive Methods of ..., Part 1

Joseph Ray - Algebra - 1848 - 250 pages
...feet the next, and so on, how far will it fall the twentieth second? Ans. 627^ feet. ART. 223. — Given, the first term a, the common difference d,...terms n, to find s, the sum of the series. If we take an arithmetical series of which the first term is 3, common difference 2, and number of terms 5, it...
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Ray's Algebra, Part First: On the Analytic and Inductive Methods of ..., Part 1

Joseph Ray - Algebra - 1848 - 252 pages
...the next, and so on, how far will it fall the twentieth second? Ans. 627 1 feet. ART. 9S8. — Qiven, the first term a, the common difference d, and the number of terms n, to find .v, the gum of the series. If we take an arithmetical series of which the first term is 3, common difference...
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Ray's Algebra Part Second: An Analytical Treatise, Designed for High Schools ...

Joseph Ray - Algebra - 1852 - 408 pages
...series is increasing, but subtract it from the first term when the series is decreasing. ART. 393. Having given the first term a, the common difference...inverted order, we have S= 1+3 + 5+ 7+ 9+11, S=ll+9 +7+6+3+1. ' Adding, 28=12+12+12+12+12+12. =12X the number of terms. =12X6=72. Whence, S=£- of 72=36,...
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Ray's Algebra, Part First: On the Analytic and Inductive Methods of ...

Joseph Ray - Algebra - 1848 - 250 pages
...feet the next, and so on, how far will it fall the twentieth second ? Ans. 627 £ feet. ART. 22 3.— Given, the first term a, the common difference d,...terms n, to find s, the sum of the series. If we take an arithmetical series of which the first term is 3, common difference 2, and number of terms 5, it...
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Ray's Algebra, Part Second: An Analytical Treatise, Designed for ..., Part 2

Joseph Ray - Algebra - 1852 - 420 pages
...contains four variable quantities, •ny one of which may be found when the other three are known ART. 293. Having given the first term a, the common difference...in an inverted order, we have S= 1+3 + 5+ 7+ 9+11, 8=11+9 + 7+ 6+ 3+ 1. Adding, 28=12+12+12+12+12+12. 2S=12X the number of terms. 28=12x6=72. Whence,...
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Ray's Algebra, First Book: Primary Elements of Algebra, for Common ..., Book 1

Joseph Ray - Algebra - 1866 - 252 pages
...first sec., 48| ft. the next, and so on, how far will it fall the twentieth sec.? Ans. 627^ ft. 223. Given, the first term a, the common difference d,...terms n, to find s, the sum of the series. If we take an arithmetical series, of which the first term is 3, common difference 2, and number of terms 5, it...
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Primary Elements of Algebra: For Common Schools and Academies

Joseph Ray - Algebra - 1866 - 250 pages
...will it fall the twentieth sec.? Ans. 627^ ft. 223. Given, the first term a, the common difference <7, and the number of terms n, to find s, the sum of the series. If we take an arithmetical series, of which the first term is 3, common difference 2, and number of terms 5, it...
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University Algebra

Webster Wells - Algebra - 1879 - 468 pages
...preceding term by adding a negative quantity ; consequently the common difference is negative. 368. Given the first term, a, the common difference, d, and the number of terms, n, to find the last term, I. The progression will be a, a + d, a + 2 d, a + 3 d, We observe that these terms differ...
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University Algebra: Designed for the Use of Schools and Colleges

Webster Wells - Algebra - 1880 - 498 pages
...preceding term by adding a negative quantity ; consequently the common difference is negative. 368. G1ven the first term, a, the common difference, d, and the number of terms, n, to find the last term, I. The progression will be a, a + d, a + 2d, a + 3 d, We observe that these terms differ...
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A Complete Course in Algebra for Academies and High Schools

Webster Wells - Algebra - 1885 - 370 pages
...0, —3, ...is a decreasing arithmetical progression, in which the common difference is —3. 311. Given the first term, a, the common difference, d, and the number of terms, n, to find the last term, I. The progression is a, a + d, a + 2d, a + 3d, •.. It will be observed that the coefficient...
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