| Horatio Nelson Robinson - Arithmetic - 1860 - 444 pages
...equal to the common difference multiplied by the number of terms less 1, (706), we have the following **RULE. Divide the difference of the extremes by the number of terms less 1.** EXAMPLES FOR PRACTICE. 1. If the extremes of an arithmetical series are 3 and 15, and the number of... | |
| Benjamin Greenleaf - Arithmetic - 1860 - 456 pages
...3 = 42, divided by the number of common differences, 21, gives 2 as the common difference required. **RULE. — Divide the difference of the extremes by the number of terms less** one, and the quotient will be the common difference. EXAMPLES. 2. A certain school consists of 19 teachers... | |
| Emerson Elbridge White - Arithmetic (Commercial), 1861 - 1861 - 332 pages
...it from it, if the series be DESCENDING. (2). The first term, number of terms, and last term being **given to find the common difference. RULE. — Divide...difference of the extremes by the number of terms, less** one. (3). The first term, common difference, and last term being given to find the number of terms.... | |
| Daniel Adams - Arithmetic - 1861 - 454 pages
...RULE. Divide the whole number added or subtracted, by the number of additions or subtractions, that is, **the difference of the extremes by the number of terms less 1, and the quotient** is the number added or subtracted at one time, or the common difference. EXAMPLES. 2. If the extremes... | |
| James Stewart Eaton - 1862
...difference, divided by 3 (15 -s- 3 = 5), gives one of these additions, ie the common difference. Hence, **RULE. Divide the difference of the extremes by the number of terms less** one, and the quotient will be the common difference. Ex. 1. The extremes of an arithmetical series... | |
| Robert Johnston (F.R.G.S.) - 1863
...7, what is the sum of the series ? 27 8 Sum of extremes"=30 ; then - — — 15 x7 = 105 Ans. 161. **To find the Common Difference. RULE. — Divide the difference of the extremes by** one less than the number of terms. Ex. 2. The extremes are 2 and 39j and the number of terms 13, what... | |
| James Stewart Eaton - Arithmetic - 1864 - 312 pages
...difference, divided by 3 (16 -=-3 = 5), gives one of these additions, ie the common difference. Hence, **RULE. Divide the difference of the extremes by the number of terms less** one, and the quotient will be the common difference. Ex. 1. The extremes of an arithmetical series... | |
| Thomas Tucker Smiley - 1868 - 240 pages
...product will be the sum of all the terms. Case 1. When the first and last terms (or two extremes,) are **given to find the common difference. Rule. Divide...difference of the extremes by the number of terms, less 1** ; the quotient will be the common difference. Questimu. What is Arithmetical Progression ? Name the... | |
| John Fair Stoddard - Arithmetic - 1888 - 480 pages
...term*, to find U-- common difference. ANALYSIS. — Since a + (n — l)c=l. c= ~a. Hence, the n— 1 **Rule. — Divide the difference of the extremes by the number of terms less** one. 1. The first term is 8, the last term 203, and the nnmber of terms 40 ; what is the common difference... | |
| John Fair Stoddard - Arithmetic - 1868 - 430 pages
...terms, to find the common difference. ANALYSIS.— Since a + (n— l)c=lc=1—a. Hence, the n— 1 **Rule. — Divide the difference of the extremes by the number of terms less** one. 1. The first term is 8, the last term 203, and the number of terms 40 ; what is the common difference... | |
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