| Benjamin Greenleaf - 1854 - 340 pages
...quotient will be the common difference. Thus, 27 -r- 9 = 3, the common difference. Hence the following xj **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 - Algebra - 1854 - 298 pages
...first term from the last, we have the difference of the extremes ; thus, \ — J=żAnd, by dividing **the difference of the extremes by the number of terms less 1,** we have the common difference, | — (5— l)=2Ji =d. e+A=i; i+A=&ˇ -&+A=HThe means, therefore, are... | |
| Roswell Chamberlain Smith - Arithmetic - 1856 - 344 pages
...then, 25-=-5=5years, the common difference. A. 5 years. 11. Hence, to find the common difference, — **Divide the difference of the extremes by the number of terms, less 1, and the quotient** Witt te the common difference. 12. If the extremes be 3 and 23, and the number of terms 11, what is'... | |
| Charles Guilford Burnham - Arithmetic - 1857 - 324 pages
...238* — When the extremes and number of terms are given, to find the common difference, we have this **RULE. Divide the difference of the extremes by the...1, and the quotient will be the common difference.** 7. If the first term of a series be 3, the last term 276, and the number of terms 40, what is the common... | |
| James Stewart Eaton - Arithmetic - 1857 - 376 pages
...additions ; ie the coiumon difference. Hence, 346. PROB. 2. — The extremes and number of terms being **given, to find the common difference, RULE. — Divide...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... | |
| Charles Guilford Burnham - 1857 - 336 pages
...of terms are given, to find the common difference, we have this RULE. Divide the difference of tlie **extremes by the number of terms less 1, and the quotient will be the common difference.** 7. If the first term of a series be 3, the last term 276, and the number of terms 40, what is the common... | |
| Benjamin Greenleaf - Arithmetic - 1857 - 336 pages
...quotient will 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 - Arithmetic - 1857 - 444 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... | |
| Silas Lawrence Loomis - Arithmetic - 1859 - 324 pages
...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 - 1859 - 348 pages
...one ; 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... | |
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