| Mathematics - 1801 - 446 pages
...EXAMPLES. * By the last problem,' the difference of the extremes, divided by the number of terms less i, gives the common difference ; consequently the same,...the number' of terms less i ; hence this quotient, augmented by I, must be the answer to the question. In any arithmetical progression, the sum of any... | |
| Samuel Webber - Mathematics - 1808 - 466 pages
...of the extremes, divided by the number of terms less 1, gives the common difference ; cpnsequently the same, divided by the common difference, must give the number. of terms less 1 ; hence this quotient, augmented by 1 , must be the answer to the question. 155 EXAMPLES. 1. The... | |
| Zadock Thompson - Arithmetic - 1826 - 176 pages
...separately ; whence the rule ig manifest. t By Problem II. the difference of the extremes, divided by the' number of terms, less 1, gives the common difference ; consequently, tint same divided by the common difference, must give the number of terms less 1 -, hence this qootieot,... | |
| Nicolas Pike - Arithmetic - 1832 - 544 pages
...* By the first Problem the difference of the extremes, divided by the number of terms less 1, gave the common difference; consequently the same divided...common difference, must give the number of terms less 1 ; hence, this quotient, augmented by 1, must be the answer to the question. t By the 3d Problem find... | |
| Zadock Thompson - Arithmetic - 1832 - 186 pages
...of terms, less 1-^ gives the common difference (277) ; consequently the difference of the extremes divided by the common difference, must give the number of terms, less 1 (11— 3=8, and 8-f2rr4, and 4+1—) 5 Ans. Hence, III. The first term, the last term, and the common... | |
| Zadock Thompson - Arithmetic - 1832 - 182 pages
...of terms, less 1, gives the common difference (277) •, consequently the difference of the extremes divided by the common difference, must give the number of terms. less 1 (11—3—8, and 8-f-2=t, and 4+1=) 5 Ans. Hence, III. The first term, the lost term, and the common-... | |
| Frederick Emerson - Arithmetic - 1834 - 300 pages
...quotient; the sum will be the number of terms. The difference of the extremes divided by the number of the terms less 1, gives the common difference; consequently,...common difference must give the number of terms less 1 : hence, this quotient augmented by 1, must give the number of terms. 8. The extremes in an equidifferent... | |
| Frederick Emerson - Arithmetic - 1839 - 300 pages
...quotient; the sum will be the number of terms. The difference of the extremes divided by the number of the terms less 1, gives the common difference; consequently,...common difference must give the number of terms less 1 : hence, this quotient augmented by 1, must give the number of terms. 8. The extremes in an equidifferent... | |
| George Hutton (arithmetic master, King's coll. sch.) - 1844 - 276 pages
...divided by the number of terms less 1 gives the common differences; so the difference of the extremes divided by the common difference must give the number of terms less 1, to which, if we add I, the sum will be the number of terms required. Hence the The two extremes... | |
| John Bonnycastle - 1851 - 314 pages
...one, gives the common difference, according to the last problem, it follows that the same difference divided by the common difference, must give the number of terms less one ; whence this quotient, augmented by one, must be the number of terms, which is the same at the... | |
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