 | A. Melrose (Teacher) - 1795 - 140 σελίδες
..."Prob. i. Given the extremes and number of terms to find the other two. Rule, The common difference is equal to the difference of the extremes divided by the number of terms minus one. And the fum of the feries is equal to the fum of the extremes multiplied by half the number... | |
 | 1801 - 446 σελίδες
...the quotient, increased by i, is the number of terms required. . ~" 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, divided by the common difference, must give... | |
 | Samuel Webber - 1808 - 466 σελίδες
...difference, and the quotient, increased by 1, is the number of terms required. * By the last problem, the difference 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... | |
 | Samuel Webber - 1812 - 260 σελίδες
...number of terms. % RULE.* Divide the difference of the extremes by the common dlf* By the last problem, the difference of the extremes, divided by the number of terms less 1, gives the common difference ; consequently the same, divided by the common difference, must give the... | |
 | Nicolas Pike - 1822 - 536 σελίδες
...are 3 and 39, and the common difference 2 : What is the sum of the series ? * 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 by t In. common difference, mast give the... | |
 | Bézout - 1825 - 258 σελίδες
...Dividing the two equalities by the number of the terms, diminished by a unit, we shall have the difference equal to the difference of the extremes divided by the number of the terms diminished by a unit ; that is to say : , •»— a d= -. n— 1 For example, if between... | |
 | Zadock Thompson - 1826 - 176 σελίδες
...addition?, will give the difference at 'every one 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... | |
 | Zadock Thompson - 1832 - 186 σελίδες
...and 11 cents for the last, and the common difference in the prices be 2 cents, how many did I buy f The difference of the extremes divided by the number of terms, less 1, gives the common difference (277) ; consequently the difference of the extremes divided by the common... | |
 | Roswell Chamberlain Smith - 1832 - 296 σελίδες
...5miles, till at last ho went 58 miles in one day; how uianv days did he travel ! We found, in example 1, the difference of the extremes, divided by the number of terms, less 1, gave the common difference ; consequently, if, in this example, we divide (50 — 3=)55j the difference... | |
 | Zadock Thompson - 1832 - 186 σελίδες
...and 11 cents for the last, and the common difference in the prices be 2 cents, how many did I buy ? The difference of the extremes divided by the number of terms, less 1-^ gives the common difference (277) ; consequently the difference of the extremes divided by the common... | |
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... difference of the extremes, divided by the number of terms less one. 
