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" If the sum of an arithmetical series is 567, the first term 7, and the common difference 2; what is the number of terms? "
An Elementary Treatise on Algebra: Theoretical and Practical ... - Page 184
by Horatio Nelson Robinson - 1846 - 262 pages
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An Elementary Treatise on Algebra

Bewick Bridge - Algebra - 1818 - 254 pages
...; Jo — ~ = ^Ô~ = • Hence the series is 100, !)ti, 92, 88, &c. Ex. 5. The яш of an arithmetic series is 1455, the first term 5, and the number of terms 30. What is the common difference? Here S— 14:15,ч _ ,_2S—2an U=J} Г _2910-300_2610 ra=30; J - УОО-30 ~"870~ . Hence the series...
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An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - Algebra - 1820 - 352 pages
...I, 1, 2, -I, &c. ? Ans. 3775. 3 3 3 3 3 4. If the sum of an arithmetical series is 1 455, the least term 5, and the. number of terms 30 ; what is the common difference ? Ans. 3. 5. If the sum of an arithmetical series is 567, the first term 7, and the common difference 2 ; what...
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A Treatise on the Elements of Algebra

Bewick Bridge - Algebra - 1821 - 648 pages
...4000 B = 20. = ____ -—=100. Hence the series is 100, 96, 92, 88, &c. Ex.5. The sum of an arithmetic series is 1455, the first term 5, and the number of terms 30. What is the common difference ? Here 5= 1455, ^ . 7 25— 2aw a = 5, 7* — n _2910 — 300_ 261^0 _3 900 — 30 "~ 870 ~ n=30; Hence...
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A Treatise on the Elements of Algebra

Bewick Bridge - Algebra - 1821 - 284 pages
...40 Hence the series is loo, 96, 92, 88, &c. Ex.5. The sum of an arithmetic series is 1455, theßrst term 5, and the number of terms 30. What is the common difference ? Here S= 1455, , n'—n ' i _2910-300^2610_ n = 30; ^ 900 — 30 870 ~ " Hence the series is 5, 8,...
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Geometrical Problems Deducible from the First Six Books of Euclid, Arranged ...

Miles Bland - Geometry - 1821 - 898 pages
...common difference = — 6, and the sum = 5 ; determine the number of terms. 15. The sum of an arithmetic series is = 1455, the first term = 5, and the number of terms = so ; determine the common difference. 16. If о be the first term, b the second, I the last term...
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An Elementary Treatise on Algebra: Theoretical and Practical

James Ryan, Robert Adrain - Algebra - 1824 - 542 pages
...(»— 1)2] = I4n+2«a— 2n <f=2; ) =1134; .-. n2+6n+tf=576, and n=2l. Ex. 3. The sum of an arithmetic series is 1455, the first term 5, and the number of...terms 30. What is the common difference.' Ans. 3. Ex. 4. The sum of an arithmetic series is 1240, common difference-^, and number of terms 20. What is...
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An Elementary Treatise on Algebra: Theoretical and Practical

James Ryan - Algebra - 1824 - 550 pages
...4S9).2s=rt[2a* = 5G7, i .-.( ffl = 7, \ »[1 rf=2; ) = :|134; n=2l. Ex. 3. The sum of an arithmetic series is 1455, the first term 5, and the number of...terms 30. What is the common difference ? Ans. 3. Ex. 4. The sum of an arithmetic series is 1240, common difference-^, and number of terms 2U. What is...
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An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - Algebra - 1827 - 352 pages
...±, _,1,*, -, 2,-, &c. Ans. 3775. 33333 4. If the sum of an arithmetical series is 1455, the least term 5, and the number of terms 30 ; what is the common difference ? Ans. 3. 5. If the sum of an arithmetical series is 567, the first term 7, and the common difference 2 ; what...
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An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - Algebra - 1832 - 354 pages
...45 7 3' 3' l' 3' 3' 2' 3' &c" Ans' 3775' 4. If the sum of an arithmetical series is 1455, the least term 5, and the number of terms 30 ; what is the common difference1? Ans. 3. 5. If the sum of an arithmetical series is 567, the first term 7, and the common...
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An Elementary Treatise on Algebra, Theoretical and Practical ...

James Ryan, Robert Adrain - Algebra - 1835 - 388 pages
...I=l4n+2»a — 2«=1134; .•.na-f6»+ 9=; <f=2 ; ) 576, and re=21. Ex. 3. The sum of an arithmetic series is 1455, the first term 5, and the number of terms 30. What is the common difference 1 Ans. 3. Ex. 4. The sum of an arithmetic series is 1240, common difference 4, and number of terms...
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