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" As in arithmetical, so also in geometrical progression, there are five things, any three of which being given, the other two may be found : — 1st The first term. "
Arithmetical Collections and Improvements: Being a Complete System of ... - Σελίδα 500
των Anthony Birks, John Birks - 1766 - 611 σελίδες
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Arithmetick in Epitome: Or, A Compendium of All Its Rules, Both Vulgar and ...

William Webster - 1740 - 266 σελίδες
...II. The laft Term. lit. The number of Terms. IV. The equal Difference. V. The fum of ail the .Terms. Any three of which being given, the other two may be found; as Mr. Oughtred in his Claiiii Ma-themettict, Chap. 19. Prop. the 6th, exemplifies in 10 propofitions;...

Arithmetic: In Two Parts: Containing. A system of the art in memorial verses ...

Solomon Lowe - 1749 - 334 σελίδες
.../. (3) The number of terms, n. (4) The common difference, J. (5) The fum of all the terms, s : (II) any three of which being given, the other two may be found : as may be feen in a feries of 20 proportions in Oughtred's clavis math. 29. 4. Seealfo Malcolm, arithm....

Arithmetic, Rational and Practical: Wherein the Properties of Numbers are ...

John Mair - 1772 - 376 σελίδες
...16 : 32 : 64 feries. In a geometrical progreffion, or feries, five things occur to be conf1dered j any three of which being given, the other two may be found. The five things are, 1. The leaft term, 1 v II. The>eateftterm.fExtremes' III. The number of terms....

The Tutor's Guide: Being a Complete System of Arithmetic; with Various ...

Charles Vyse - 1785 - 350 σελίδες
...The Number of Terms. 4. The common Excefs or Difference. 5. The Aggregate or Sum of all the Terms. Any three of which being given, the other two may be found. PRO- I « PR-O POSITION I. When two Extremes and the Number ,of Terms are given, to find the Sum of...

A Compendium of Practical Arithmetick

John Thomas Hope - 1790 - 430 σελίδες
...2. Alfo 42, 35,28,21, 14, 7, common difference 7. In an Arithmetical Progreffion are five tiling«, any three of which being given the other two may be found,' which admit of twenty different proportions. lit. The firft term commonly the bail."} 2d, The laft term commonly the I extremes, greateft...

A New System of Mercantile Arithmetic: Adapted to the Commerce of the United ...

Michael Walsh - 1801 - 268 σελίδες
...2. .The la ft term. 3. The numb т oi terms. 4. The equal difference. 5. Tha fum of all the terms. Any three of which being given, the other two may be found. The ßrfl. Jccond and third term given toßnd theßfth. RULE. Multiply the fum of the two extremes...

The Tutor's Guide: Being a Complete System of Arithmetic; with Various ...

Charles Vyse - 1806 - 342 σελίδες
...3. The Number of Terms. 4. The common Excess or Difference. 5. The Aggregate Sum of all the Terms. Any three of which being given, the other two may be found. PROPOSITION I. RULE. Multiply the Sum of-Jthe two Extremes into the Number •f Terms, and divide the...

Mathematics: Compiled from the Best Authors, and Intended to be the ..., Τόμος 2

Samuel Webber - 1808 - 520 σελίδες
...Problem, are the latitude of the place, and the sun's altitude, decimation, and azimuth, and the hour ; any three of which being given, the other two may be found by^the solution of an oblique spheric triangle. Hence several useful Problems are formed, three of...

The Scholar's Arithmetic: Designed for the Use of Schools in the United States

Jacob Willetts - 1822 - 200 σελίδες
...Thirdly, the number of terms ; Fourthly, the common difference ; Fifthly, the sum of all the terms ; Any three of which being given, the other two may be found, CASK 1 . The First term, common difference, and number of terms given to find the last term, and the...

A New and Concise System of Arithmetick: Containing Vulgar, Decimal, and ...

Beriah Stevens - 1822 - 436 σελίδες
...: 4 : 8 : 16 : 32:64. In a geometrical progression, or series, five things occur to be considered ; any three of which being given, the other two may be found. The five things arc, 1. The least term. tc , o TU ... t Extremes. 2. 1 he greatest terms. $ 3. The...




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