| Lorenzo Fairbanks - 1875 - 468 pages
...difference of the extremes divided by the number of terms less 1, will be the common difference. Hence the **RULE. — Divide the difference of the extremes by the number of terms less 1.** EXAMPLES FOR PRACTICE. 1. The extremes of an arithmetical series are 2 and 22, and the number of terms... | |
| James Bates Thomson - 1875 - 384 pages
...number of terms less i ; therefore iS-ig, or 2, is the common difference required. (Art. 93.) Hence, the **RULE. — Divide the difference of the extremes ~by the number of terms less** i. 9. The ages of 7 sons form an arithmetical series, the youngest being 2, and the eldest 20 years:... | |
| James Stewart Eaton - 1875 - 327 pages
...divided by 3 (15 -i- 3 = 5), gives one of these additions, ie the common th'fference. Hence, EULE. **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... | |
| Milton Browning Goff - Arithmetic - 1876 - 452 pages
...number of terms less one is 21 ; and 42 ( = 45 — 3) divided by 21 gives 2, the common difference. 524. **RULE. — Divide the difference of the extremes by the number of terms less** one. vaoni, E 3i s . What is the common difference when 1. The first term is 1, and the 21st, 41 ?... | |
| Benjamin Greenleaf - Arithmetic - 1876 - 344 pages
...divided by the number of common differences, 9, the quotient, 3, will be the common difference. Hence the **RULE. — Divide the difference of the extremes by the number of terms less** one, and the quotient will be the common difference. EXAMPLES FOR PRACTICE. 1. The extremes of a series... | |
| James Bates Thomson - 1876 - 400 pages
...I; therefore 18-5-9, or 2, is the common difference required. (Art. 93.) Hence, the RULB.—Divide **the difference of the extremes by the number of terms less 1.** 9. The ages of 7 sons form an arithmetical series, the youngest being 2, and the eldest 20 years: what... | |
| Joseph Ray - Arithmetic - 1877 - 404 pages
...divided by 6, the number of 20 — 2 _= I 8 terms less 1, is 3, the common difference. 1 8 -H 6 = 3 **Rule. — Divide the difference of the extremes by the number of terms less** one. 2. The extremes are 3 and 300 ; the number of terms 10 : find the common difference. 33. 3. A... | |
| Horatio Nelson Robinson, Daniel W. Fish - Arithmetic - 1877 - 359 pages
...terms less one ; thus, by taking away 2 in the fifth term, 2 + 3-1-3+3 + 3, we have 3 taken 4 times. **RULE. Divide the difference of the extremes by the number of terms less** one. 330 ARITHMETICAL PROGRESSION. EXAMPLES FOB PRACTICE. 1. The first term is 2, the last term is... | |
| Edward Brooks - Arithmetic - 1877 - 528 pages
...substituting the values of the given terms. See Art. 843. Rule. — To find the common difference, **divide the difference of the extremes by the number of terms less** one. 2. $1600 in 60 years amounts to $8320 ; required the annual interest. Ans. $112. 8. A begins business... | |
| James E. Ryan - Arithmetic - 1877
...number of terms. (20— 2)-f-3+l=7. The common difference equals the quotient obtained by dividing **the difference of the extremes by the number of terms less 1** (l—a)-~-(n— 1). Example. The difference of the extremes is 24, the number of terms is 13; then... | |
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