 | Benjamin Greenleaf - 1857 - 336 páginas
...be the common difference. Thus, 27 -S- 9 = 3, the common difference. Hence the following RULE. — Divide the difference of the extremes by the number of terms less one, and the quotient is the common difference. EXAMPLES FOR PRACTICE. 1. The extremes of a series... | |
 | Benjamin Greenleaf - 1857 - 452 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... | |
 | Horatio Nelson Robinson - 1859 - 348 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 - 324 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 - 444 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 - 456 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 - 452 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 - 348 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 - 320 páginas
...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 - 322 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... | |
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Hence, when the extremes and number of terms are given, to find the common difference, — Divide the difference of the extremes by the number of terms, less 1, and the quotient will be the common difference. 
