| Almon Ticknor - Arithmetic - 1846 - 274 pages
...16, 8, 4, 2, decrease continually by the divisor 2, &c. In this rule there are five denominations, **any three of which being given, the other two may be found** : 1st, the first term ; 2d, the last term ; 3d, the number of terms ; 4th, the ratio ; 5th, the sum... | |
| Benjamin Greenleaf - Arithmetic - 1849 - 336 pages
...descending series ? What are the extremes of a series ? What the means ? What five things are mentioned, **any three of which being given, the other two may be found** ? 2 6 138 5*4 1&2 486 1458 The factors of 1458, are 3, 3, 3, 3, 3, 3, and 2, the last of which is the... | |
| Frederick Emerson - Arithmetic - 1851 - 342 pages
...What by the common difference ? What is Theorem 1st ? 2d? 3d? 4th? What five things are mentioned, **any three of which being given, the other two may be found** ? I. The extremes and number of terms being given, how can you find the sum of all the terms ? II.... | |
| Sarah Porter - 1852 - 286 pages
...„ L 3. The number of terms ,, N 4. The common difference „ D 5. The sum of all the terms „ S **Any three of which being given, the other two may be found.** The following, is a summary of all we have already proved by the preceding investigation : — S =... | |
| Francis Walkingame - 1855 - 186 pages
...last term I. 3. The number of terms те. 4. The equal difference d. 5. The sum of all the terms S. **Any three of which being given, the other two may be found.** The first, second, and third of the above five things given, to find the fifih. RULE. Multiply the... | |
| Benjamin Greenleaf - Arithmetic - 1857 - 336 pages
...descending series ? What are the extremes of a series ? What the means ? What five things aro mentioned, **any three of which being given, the other two may be found** ? I 2 6 18 54 162 486 1458 The factors of 1458 are 3, 3, 3, 3, 3, 3, and 2, the last of which is the... | |
| Horatio Nelson Robinson - 1859 - 348 pages
...the difference between any two adjacent terms. 437. There are Jive parts in an arithmetical series, **any three of which being given, the other two may be found.** They are as follows : the first term, last term, common difference, number of terms, and sum of all... | |
| Daniel Adams - Arithmetic - 1861 - 454 pages
...extremes, and the other terms are called the means. There are five things in an arithmetical progression, **any three of which being given, the other two may be found** : 1st. Theirs* term. 2d. The last term. 3d. The number of terms. 4th. The common difference. 5th. The... | |
| George Augustus Walton - Arithmetic - 1864 - 362 pages
...12, &c. If the numbers decrease from the first term, the series if a Decreasing Series; eg, 13, 11, **9, 7, 5, &c. 487. In every series, five things are...the student is referred to works on Algebra. NOTE** II. — Increasing series only will be considered in this book, as rules that apply to increasing series... | |
| Horatio Nelson Robinson - Algebra - 1864 - 444 pages
...APPLICATION OF THE FOKMULAS. 364. The two primitive equations, contain the five quantities, a, r, l, n, S, **any three of which being ~given, the other two may be found;** for, by substitution of the given values, the result will always be two equations involving but two... | |
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