 | Michael Walsh - 1838 - 346 σελίδες
...The first term. 2. The last term. 3. The number of terms. 4. The equal difference. 5. The sum of all the terms. Any three of which being given, the other two may be found. The first, second, and third terms given, to find the fifth. RULE. Multiply the sum of the two extremes... | |
 | Daniel Adams - 1839 - 268 σελίδες
...extremes, and the other terms are called the means. There are five things in arithmetical progression, 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 common difference. 5th.... | |
 | Daniel Adams - 1840 - 278 σελίδες
...extremes, and the other terms are called the means. There are five things in 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.... | |
 | William Ruger - 1841 - 268 σελίδες
...first term. 3d. The number of terms. 3d. The last term. 4th. The common difference. 5lh the sum of all the terms. Any three of which being given, the other two may be found. CASE I. — The first term, common difference, and number of terms given, to find the last term. RULE.... | |
 | Charles Guilford Burnham - 1841 - 324 σελίδες
...are to be considered, viz : the first and last terms, the number, common difference, and sum of all the terms ; any three of which being given the other two may be found. •. J. If I^buy 4 books, giving 2 cents for the first, 4 for the second, and so on, with a common... | |
 | Warren Colburn - 1844 - 280 σελίδες
...3—1 The two equations g , q—l contain all the relations of the five quantities a, /, <j, n, and S ; any three of which being given, the other two may be found. It would however be difficult to find n, without the aid of logarithms, which will be explained hereafter.... | |
 | Almon Ticknor - 1846 - 276 σελίδες
...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... | |
 | James Robinson (of Boston.) - 1847 - 304 σελίδες
...viz., the first term, the last term, the common difference, the number of terms, and the sum of all the terms ; any three of which being given, the other two may be found. GEOMETRICAL PROGRESSION. Art. 179. GEOMETRICAL PROGRESSION is a series of numbers which increase continually... | |
 | Jeremiah Day - 1847 - 358 σελίδες
...there are four different quantities, the first term of the series, the common difference, the number of terms, and the sum of the terms; any three of which being given, the fourth may be found. For, by reducing the equation, we have, 2. a= 1 ' the first term. Zs-dri'+dn 2s-2an... | |
 | Benjamin Greenleaf - 1849 - 336 σελίδες
...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... | |
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The sum of all the terms. Any three of which being given, the other two may be found. 
