 | James Wood - 1815 - 338 σελίδες
...constant ; when they are all changed, Ovaries as their product. ON ARITHMETICAL PROGRESSION. (211.) Quantities are said to be in arithmetical progression,...they increase or decrease by a common difference. Thus, 1, 3, 5, 7, 9, &c. a, a + b, a+2b, a + 3b, &c. a, a — b, a—2b, a-3b, &c. are in arithmetical... | |
 | Jeremiah Day - 1820 - 352 σελίδες
...Thus the numbers 3, 4, 6, 8, 10, are in continued arithmetical proportion. , Quantities, then, are in arithmetical progression, when they increase or decrease by a common difference. When they increase, they form what is called an ascending series, as 3, 5, 7, 9, 11, &c. When they... | |
 | George Lees - 1826 - 276 σελίδες
...respecting proportionals, are true of the four magnitudes a, b, c, and d.* ON ARITHMETICAL PROGRESSION. 125. Quantities are said to be in Arithmetical Progression,...they increase or decrease by a common difference. Thus, 1, 3, 5, 1, 9, 11, &c. ; 5, 3, 1, — 1, — 3, — 5, &c. &c., are quantities in arithmetical... | |
 | Jeremiah Day - 1827 - 352 σελίδες
...inverted. Thus the numbers 2, 4, 6, 8, 10, are in continued arithmetical proportion. Quantities, then, ate in arithmetical progression, when they increase or decrease by a common difference. When they increase, they form what is called an ascending series, as 3, 5, 7, 9, 1 1, &c. When they... | |
 | Richard Frederick Clarke (the elder.) - 1833 - 158 σελίδες
...relation which quantities of the same kind have to each other, with respect to their differences. Numbers are said to be in Arithmetical Progression when they increase or decrease by the repeated addition or subtraction of the same quantity. Thus 2, 5, 8, 11, 14, &c. are an increasing... | |
 | William Whewell - 1837 - 226 σελίδες
...both. Therefore (Art. 50.) S : s :: TV : tv; that is, S <x TV. (12.) Of Arithmetical Progression. 58. Quantities are said to be in arithmetical progression,...they increase or decrease by a common difference. Thus 1, 3, 5, 7, 9, &c., where the increase is by the difference 2 ; a, a + b, a + 2b, a + 3b, &c.... | |
 | Wales Christopher Hotson - 1842 - 306 σελίδες
...t, (v being the same in both ;) .'. S: s :: TV : tv, and .'. Soc TV. ARITHMETICAL PROGRESSION. 157. Quantities are said to be in Arithmetical Progression,...they increase or decrease by a common difference. 158. In the general series a, a + d, a + 2d, &c. the »th or general term will evidently be a + (»... | |
 | Admiralty - 1845 - 152 σελίδες
...same proof will extend to any number of ratios. ARITHMETICAL PROGRESSION. 93. Def. — Quantities are in Arithmetical Progression when they increase or decrease by a common difference. As 1, 4, 7, 10, 13, &c. or a, a + d, a+2d, a + 3r/, &c. or a, a — d, a — '2d, a— 3d, &c. Hence,... | |
 | Harvey Goodwin - 1846 - 500 σελίδες
...; hence when neither is given, the area oc base x altitude. ON ARITHMETICAL PROGRESSION. 101. DEF. Quantities are said to be in arithmetical progression,...they increase or decrease by a common difference. Thus a, a + d, a + 2d, is an arithmetical series. 102. To sum an arithmetical series. Let a be the... | |
 | Jeremiah Day - 1847 - 358 σελίδες
...also called a progression, which is only another name for continued proportion. Quantities, then, are in arithmetical progression, when they increase or decrease by a common difference. When they increase, they form what is called an ascending series, as 3, 5, 7, 9, 11, &c. When they... | |
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Quantities are said to be in Arithmetical Progression when they increase or decrease by a common difference. Thus each of the following series forms an Arithmetical Progression : 3, 7, 11, 15, ... 8, 2, -4, -10,... 
