| Horatio Nelson Robinson - 1859 - 336 páginas
...thus, by taking away 2 in the fifth term, 2-J-3 + 3 + 3 + 3, we have 3 taken 4 times. Hence, RULE. **Divide the difference of the extremes by the number of terms less** one. EXAMPLES. 1. The first term is 2, the last term is 17, and the number of terms is 6 ; what is... | |
| Silas Lawrence Loomis - 1859 - 300 páginas
...PROB. CLIII. — GIVEN, THE EXTREMES AND NUMBER OF TERMS, TO FIND THE COMMON DIFFERENCE AND MEANS. RULE **Divide the difference of the extremes by the number of terms, less** one, for the common difference. Then construct the series by P/ob. CL. PROB. CLIV. — GIVEN, THE EXTREMES... | |
| Horatio Nelson Robinson - 1860 - 432 páginas
...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 - 1860 - 444 páginas
...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... | |
| Daniel Adams - 1861 - 280 páginas
...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... | |
| Emerson Elbridge White - 1861 - 332 páginas
...The first term, number of terms, and last term being given to find the common difference. RULE. — **Divide the 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.... | |
| 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... | |
| James Stewart Eaton - 1864 - 312 páginas
...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
...1. When the first and last terms (or two extremes,) are given to find the common difference. Rule. **Divide the 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 - 1888 - 456 páginas
...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... | |
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