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" 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. The sum of al! "
A Practical Treatise on Arithmetic ...: Combining the Useful Properties of ... - Σελίδα 262
των George Leonard (jr.) - 1841 - 340 σελίδες
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Adam's New Arithmetic: Arithmetic, in which the Principles of Operating by ...

Daniel Adams - 1848 - 330 σελίδες
...progression, there m fire things, any three of which being given, the other two may be found . — 1st. The first term. 2d. The last term. 3d. The number of terras. 4th. The ratio. * . Cih The sum of all the terms. IT 223. The first term, number of terms,...

Introduction to The National Arithmetic: On the Inductive System Combining ...

Benjamin Greenleaf - 1849 - 336 σελίδες
...extremes? What the means ? 1st. The first term, or first extreme ; 2d. The last term, or last extreme ; 3d. The number of terms ; 4th. The common difference ; 5th. The sum of the terms. ART. 29O. To find the common difference, the first term, last term, and number of terms...

The National Arithmetic on the Inductive System: Combining the Analytic and ...

Benjamin Greenleaf - 1850 - 368 σελίδες
...terms, the means. Any three of the five following things being given, the other two may be found : — 1st, the first term, 2d, the last term, 3d, the number...terms, 4th, the common difference, 5th, the sum of the terms. PROBLEM I. The first term, last term, and number of terms being given, to find the common...

Introduction to the National Arithmetic ...

Benjamin Greenleaf - 1851 - 332 σελίδες
...two may be found : — 1st. The first term, or first extreme ; 2d. The last term, or last extreme ; 3d. The number of terms ; 4th. The common difference ; 5th. The sum of the terms. ART. 29O. To find the common difference, the first term, last term, and number of terms...

The Theoretical and Practical Systematic Arithmetic; Or, Arithmetic Arranged ...

David Henry Cruttenden - 1853 - 330 σελίδες
...terms. (See example 3d.) 5. In Geometrical Progressions there are Five things to be considered, viz. ; 1st, THE FIRST TERM ; 2d, THE LAST TERM ; 3d, THE NUMBER OF TERMS ; 4th, THE COMMON RATIO ; AND 5th, THE SUM OF ALL THE TERMS ; three of which being given, or known, the remaining two...

Indroduction to the National Arithmetic ...

Benjamin Greenleaf - 1854 - 342 σελίδες
...extremes? What the means ? 1st. The first term, or first extreme ; 2d. The last term, or last extreme ; 3d. The number of terms ; 4th. The common difference ; 5th. The sum of the terms. ART. 29O. To find the common difference, the first term, last term, and number of terms...

Practical Arithmetic, by Induction and Analysis

Joseph Ray - 1857 - 348 σελίδες
...terms are extremes; the others, means. ART. 306. In every geometric series, 5 things are considered: 1st, the first term; 2d, the last term; 3d, the number of terms ; 4th, the ratio ; 5th, the sum of all the terms. CASE I. ART. 307. To find ihe LAST TEEM, when the firsfterm,...

Introduction to The National Arithmetic: On the Inductive System : Combining ...

Benjamin Greenleaf - 1857 - 336 σελίδες
...extremes ? What the means ? 1st. The first term, or first extreme ; 2d. The last term, or last extreme ; 3d. The number of terms ; 4th. The common difference ; 5th. The sum of the terms. ART. 304. To find the common difference, the first term, last term, and number of terms,...

Arithmetic, in which the Principles of Operating by Numbers are Analytically ...

Daniel Adams - 1858 - 354 σελίδες
...arithmetical progression, any three of which being given, the other two may be found : — 1st. TheVirs( term. 2d. The last term. 3d. The number of terms. 4th. The common difference. '.'... The sum of all the terms. NOTE 2. -The common difference is the number added or subtracted at...

Normal Arithmetic: A Text-book, Theoretical and Practical, in Six Parts ...

Silas Lawrence Loomis - 1859 - 324 σελίδες
...as in Equi-different Series, any three of which being given, the remaining two may be found. These are— 1st. The First Term. 2d. The Last Term. 3d. The Number of Terms. 4th. The Common Ratio. 5th. The Sum of the Series. 374. The first and last are called extremes. 379. The remaining...




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