| Jacques Ozanam, Jean Etienne Montucla - Mathematics - 1803
...understood, it will be easy to resolve the following questions. PROBLEM I. If a hundred stones are **placed in a straight line, at the distance of a yard from each other ; how** many yards must the person walk, u-ho undertakes to pick them itp one fy onet, and to put them into... | |
| Paul Deighan - Arithmetic - 1804
...2O. Given ^=4, «=i2, /~324, required a? 2« 21. The firft term of an increafing Arithmetical feries **is 3, the common difference 2, and the number of terms 20** ; required the fum of the feries ? Ant, 440. 22. The firft term of a decreafing Arithmetical feries... | |
| John Bonnycastle - Algebra - 1806 - 208 pages
...term of a, a+x, a+2x, a+¡x, to EXAMPLES. - • i. Ths firft term of an increafing arithmetical feries **is 3, the common difference 2, and the number of terms 20** ; required the fum of the feries. ^19 Firft, 3 + 2X(zo—i) =3+19=3+38 «=41 *slaß term* And, (3+41... | |
| John Bonnycastle - Algebra - 1811 - 220 pages
...a + x, a + Zx, a + 3x, to a + mx, is = (a+a+mx) — =(a+-Jm^) . n = (a-| — — — EXAMPLES. . I. **The first term of an increasing arithmetical series...the common difference 2, and the number of terms 20** ; required the sum of the series. first, 3 + 2x(20 — 1)=3 + 2 x!9 = 3 + 38=41= ast term. 20 20 ^nrf(3... | |
| Charles Hutton - Mathematics - 1811
...they meet ? ; Ans. 69£ miles from Exeter. QuEsT^,25. One hundred eggs being placed on the ground, **in a straight line, at the distance of a yard from each other : How far** will a person travel who shall bring them one by one to a basket, which is placed at one yard from... | |
| Charles Hutton - Mathematics - 1812
...will they meet ? Ans. 69^. miles from Exeter. QUEST. 25. One hundred eggs being placed on the ground, **in a straight line, at the distance of a yard from each other: How far** .will a person travel who shall bring them one by one to a basket, which is placed at one yard from... | |
| John Bonnycastle - Algebra - 1813
...(a — 2d) + (a — 3d) + (a — 4d), &c. to » terms, is = 2a — (n — I )dx ^ (¿). EXAMPLES. 1. **The first term of an increasing arithmetical series is 3, the common difference 2, and the** numof terms 20; required the sum of the series. First, 3 + 2(20- 1) =3 + 2 x 19=3 + 38 = 41, the last... | |
| John Bonnycastle - Algebra - 1818 - 260 pages
...of the quantities, a, d, n, S, be given, the fourth may be tound trom the equation EXAMPLES. . .. 1. **The first term of an increasing arithmetical series...the common difference 2, and the number of terms 20** ; required |he sum of the series. • - • First, 3+2(20- 1)=3+2X 19=3+38=41, the last term. 20 20... | |
| John Bonnycastle - Algebra - 1818 - 260 pages
...3 21 ; required the sum of the series. Ans. 140. 8. One hundred stones being placed on the ground, **in a straight line, at the distance of a yard from each other ; how far** will a person travel, who shall bring them one by one. to a basket, placed at the distance of a yard... | |
| Jeremiah Day - Algebra - 1820 - 332 pages
...the common difference. ^ ' /t - n s — 2a + d, 4. w= ------------ ^-3 -- the number of termsEx. 1. **If the first term of an increasing arithmetical series...number of terms 20 ; what is the sum of the series** ? Ans. 440. 2. If 1 00 stones are placed in a straight line, at the distance of a yard from each other... | |
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