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" S ; any three of which being given, the other two may be found. "
An Introduction to Algebra Upon the Inductive Method of Instruction - Σελίδα 236
των Warren Colburn - 1831 - 276 σελίδες
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The Progressive Practical Arithmetic: Containing the Theory of Numbers, in ...

Horatio Nelson Robinson - 1859 - 348 σελίδες
...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...

Adams's Improved Arithmetic: Arithmetic, in which are Combined the Analytic ...

Daniel Adams - 1861 - 452 σελίδες
...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...

New University Algebra: A Theoretical and Practical Treatise, Containing ...

Horatio Nelson Robinson - 1864 - 444 σελίδες
...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...

A Written Arithmetic, for Common and High Schools: To which is Adapted a ...

George Augustus Walton - 1864 - 376 σελίδες
...viz., the First Term, the Last Term, the Number of Terms, the Common Ratio, and the Sum of the Terms; any three of which being given, the other two may be found. 495. To FIND THE LAST TERM OF A SERIES, THE FIRST TERM, THE RATIO, AND NUMBER OF TERMS BEING GIVEN....

A Written Arithmetic, for Common and High Schools: To which is Adapted a ...

George Augustus Walton - 1864 - 364 σελίδες
...viz., the First Term, the Last Term, the Number of Terms, the Common Ratio, and the Sum of the Terms; any three of which being given, the other two may be found. 495. To FIND THE LAST TERM OF A SERIES, THE FIRST TERM, THE RATIO, AND NUMBER OP TERMS BEING GIVEN....

Walkinghame's Tutor's Assistant ... Revised, corrected, and modernized, by E ...

Francis Walkingame - 1868 - 154 σελίδες
...last term. 3. The number of terms. 4. The equal difference of the terms. 5. The sum of all the terms. Any three of which being given, the other two may be found. The first and last terms and the number of terms given, to find the sum of all the terms. RULE. —...

Introduction to the National Arithmetic on the Inductive System: Combining ...

Benjamin Greenleaf - 1871 - 350 σελίδες
...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...

New University Algebra: A Theoretical and Practical Treatise, Containing ...

Horatio Nelson Robinson - 1872 - 436 σελίδες
...TKe 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...

Manual of Algebra

William Guy Peck - 1875 - 348 σελίδες
...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...

Written Arithmetic

George Augustus Walton - 1876 - 358 σελίδες
...viz., the First Term, the Last Term, the Number of Terms, the Common Ratio, and the Sum of the Terms ; any three of which being given, the other two may be found. 1JK5. To FIND THE LAST TERM OP A SERIES, THE FIRST TERM, THE RATIO, AND NUMBER OF TERMS BEING GIVEN....




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