 | Jacob Willetts - 1822 - 200 σελίδες
...Thirdly, the number of terms ; Fourthly, the common difference ; Fifthly, the sum of all the terms ; Any three of which being given, the other two may be found, CASK 1 . The First term, common difference, and number of terms given to find the last term, and the... | |
 | Warren Colburn - 1825 - 400 σελίδες
...}) d. This formula and the following s _ n(a + 1} contain five different tilings, viz. a, I, n, d, and S; any three of which being given, the other two may be found, by combining the two equations. I shall leave the learner to trace these himself as occasion may require.... | |
 | Warren Colburn - 1828 - 292 σελίδες
...of seven terms of the series 5, 15, 45, &.c. / = 5 X 3' = 3645 . 3 — 1 The two equations , q—l contain all the relations of the five quantities a,...give but few examples, until we have explained them. If we substitute aq*~' in place of I, in the expression of S, it becomes j— i When q is greater than... | |
 | Warren Colburn - 1828 - 288 σελίδες
...= 5 X 3« = 3645 o _ 3 X 3645 — 5 _ jjZTI contain all the relations of the five quantities a,l,q, n, and S ; any three of which being given, the other...give but few examples, until we have explained them. If we substitute « q*~l in place of I, in the expression of S, it becomes ql When q is greater than... | |
 | Daniel Adams - 1828 - 286 σελίδες
...geometrical series. As in arithmetical, so also in geometrical progression, there are five things, any three of which being given, the other two may be found : — 1st. The first term. 2d. The last term. 3d. The number of terms. 4th. The ratio. 5th. The sum... | |
 | Daniel Adams - 1828 - 266 σελίδες
...geometrical series. A§ in arithmetical, so also in geometrical progression, there are fire things, any three of which being given, the other two may be found : — 1st. The first term. 2d. The lust term. 3d. The number of terms. 4th. The ratio. 5th. The sum... | |
 | 1829 - 196 σελίδες
...divisor is called the RATIO. 276. In geometrical, as in arithmetical progression, them are FIVE THINGS, any three of which being given, the other two may be found. 1st. The FIRST term. 2nd. The LAST term. 3d. The NUMBER of terms. 4th. The RATIO. 5th. The SUM OF ALL... | |
 | Daniel Adams - 1830 - 294 σελίδες
...extremes, and the other terms are called the means. There are five things in arithmetical progression, any three of which being given, the other two may be found : — 1st. Theirs* term. 2d. The last term. 3d. The number of terms. 4th. The common difference. 5th.... | |
 | Daniel Adams - 1831 - 276 σελίδες
...geometrical series. As in arithmetical, so also in geometrical progression, there are five things, any three of which being given, the other two may be found : — 1st. The/r*< term. 2d. The last term. 3d. The number of terms. 4th. Thereto. 5tn. The sum of... | |
 | Thomas Conkling (W.) - 1831 - 302 σελίδες
...the first term, the last term, the number of terms, the common difference, and the sum of all terms; any three of which being given, the other two may be found. Case 1st. When the first term, the number of terms, and the common difference are given. to find the... | |
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S ; any three of which being given, the other two may be found. 
