| John Mair - Mathematics - 1772
...extremes, and number of terms, to find the common difference; that is, given I. II, III. to f1nd IV. RULE. **RULE. Divide the difference of the extremes by the number of terms** minus un1ty, and the quo1 is the common difference, by Theorem V. EXAMPLE I. A man had 1 2 fons, whofe... | |
| Samuel Webber - Mathematics - 1801
...yards. PROBLEM II. lie first term, iJce last term, and the number of terms being given,, to find ike **common' difference. RULE.* Divide the difference of the extremes by the number of terms less** i, and the quotient will be the common difference sought. EXAMPLES. i. The extremes are 2 and 53, and... | |
| James Alexander Mackay - Business & Economics - 1803 - 252 pages
...peculiar properties of Progression. PROBLEM IV. Given the first term, the last term, and number of terms, **to find the common difference. RULE.— Divide the...difference of the extremes by the number of •terms less** I— the quotient will be the common difference. EXAMPLE. jGhren 3, the first, 39 the last, and 19... | |
| William Tinwell - Arithmetic - 1805 - 191 pages
...5oo0 yards, or 2 miles and 1^SoyarJt* PROPOSITION 2. When the extremes and the number of terms are **given to find the common difference. RULE. — Divide the difference of the extremes, by** one lefs than the number of terms, and the quotient will be the anfwer. 1. If the extremes be 2 and... | |
| Samuel Webber - Mathematics - 1808
...term, the .last term, and the number of terms being given, to jind the common difference. RULE 3.* **Divide the differe'nce of the extremes by the number...1, and the quotient will be the common difference** sought, * The difference of the first and last terms evidently shows the increase of the first term... | |
| Nicolas Pike - Algebra - 1808 - 480 pages
...hast term. RULE. — Divide the greatest term by such power of the ratio, •whose index is equal to **the number of terms less 1, and the quotient will be the** least term. EXAMPLE. If the ratio be 2, the number of terms 6, and the greatest term 18 : What is die... | |
| Daniel Adams - Arithmetic - 1810 - 180 pages
...difference. Hence, when the extremes and number of terms are given, tn fnd the common difference,—' **Divide the difference of the extremes by the number...and the quotient will be the common difference. 6.** If the extremes be 3 and 603, and the number of terms 131, whnt is the common difference 7 Ans. 4.... | |
| Zachariah Jess - Arithmetic - 1810 - 210 pages
...two extremes and number of terms are given, and the common difference of all the terms required ; . **Divide the difference of the extremes by the number of terms, less** one,, the quotient will be the common difference. E \X AMPLES. l Admit, a debt be discharged at 16... | |
| Arithmetic - 1811 - 198 pages
...CASE 2. When, the two extremes and number of ternis are given, to find the common difference. RULÉ. . **Divide 'the difference of the extremes by the number of terms, less** one ; the quotient will be the .common difference. EkAMPLES. , j 1. 20 and 60 are the two extremes... | |
| Nathan Daboll - Arithmetic - 1813 - 240 pages
...them rue by one to the basket 1 Ans. 23 miles, 5 furlongs, 180 yds. PROBLEM 11. The first term, the **last term, and the number of terms given, to find...Divide the difference of the extremes by the number** 'f terms leas I... and the quotient will be the common difference. EXAMPLES. 1. The extremes are 3... | |
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