| George Augustus Walton, Mrs. Electra Nobles Lincoln Walton - Arithmetic - 1865 - 358 pages
...&c. If the numbers decrease from the first term, the series is a Decreasing Series; e. д., 13, 11, **9, 7, 5, &c. * 4:87. In every series, five things...works on Algebra. NOTE П. — Increasing series only** will be considered in this book, as rules that apply to increasing series apply to decreasing series... | |
| Benjamin Greenleaf - Arithmetic - 1871 - 350 pages
...a series? The means? When is a series ascending? When descending ? What five things are mentioned, **any three of which being given, the other two may be found** ? If the last term had been given and the first required, the process would evidently have been by... | |
| Horatio Nelson Robinson - Algebra - 1872 - 436 pages
...two primitive equations, l = ar*~l , S—— — 5—, 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... | |
| George Augustus Walton - Arithmetic - 1873 - 352 pages
...In every series, five things are to be considered ; viz., the First Term, the Last Term, the Niimber **of Terms, the Common Difference, and the Sum of the...presented. NOTE I For the remaining cases, also for full** discussio»s of Geometrical Progression and Annuities, the student is referred to works on Algebra.... | |
| William Guy Peck - Algebra - 1875 - 348 pages
...in each case is 4. 175. In any geometrical progression, there are five quantities to be considered, **any three of which being given, the other two may be found.** These quantities are, the first term, denoted by . . . .a, " last term, denoted by ..../, " number... | |
| George Augustus Walton - 1876 - 358 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** n. — Increasing series only will be considered in this book, as rules that apply to increasing series... | |
| Benjamin Greenleaf - Arithmetic - 1876 - 344 pages
...series ? The means 1 When is a series ascending 1 When descending ? What five things are mentioned, **any three of which being given, the other two may be found** ? If the last term had been giver and the first required, the process would evidently have been by... | |
| Edward Brooks - Arithmetic - 1877 - 560 pages
...what is the first term ? Ann. 1024. 864. Since there are five quantities in Geometrical Progression, **any three of which being given, the other two may be found,** there are twenty distinct cases. 865. The rules for the eight simple cases are expressed in the following... | |
| Edward Brooks - Algebra - 1888 - 344 pages
...that decrease« from left to right ; as 32, 16, 8, i, etc. ill» 7. The Terms considered are five, **any three of which being given, the other two may be found.** THE FIVE TEEMS. 1. The first term, a ; 3. The number of terms, n ; 2. The last term, /; 4. The ratio,... | |
| Horatio Nelson Robinson - 1888 - 372 pages
...the difference between any two adjacent terms. 450. There are five 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... | |
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