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" Any three of the five following things being given, the other two may be found. 1. The first term. 2. The last term. 3. The number of terms. "
The Tutor's Guide: Being a Complete System of Arithmetic; with Various ... - Page 135
by Charles Vyse - 1815 - 320 pages
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Walkinghame's Tutor's Assistant ... Revised, corrected, and modernized, by E ...

Francis WALKINGAME - 1868 - 154 pages
...where the double of 3 = 5 + 1 = 2 + 4 = 6. In Arithmetical Progression five things are to be observed, viz.— 1. The first term. 2. The 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...
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Ray's New Practical Arithmetic: A Rev. Ed. of the Practical Arithmetic

Joseph Ray - Arithmetic - 1877 - 350 pages
...terms are extremes ; the others, means. 4. In every geometric series, five things are considered : (1) the first term ; (2) the last term ; (3) the number...terms ; (4) the ratio ; (5) the sum of the terms. CASE I. 269. To find the last term, when the first term, the ratio, and the number of terms arc given....
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New Elementary Algebra: Designed for the Use of High Schools and Academies

Benjamin Greenleaf - Algebra - 1879 - 350 pages
...if we regard the number of terms as limited, there will be five elements for consideration : - — 1. The first term. 2. The last term. 3. The number of terms. 4 The ratio. 5. The sum of the terms. Define Geometrical Progression. The ratio of the progression. How Way the successive terms be considered...
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New Elementary Algebra: Designed for the Use of High Schools and Academies

Benjamin Greenleaf - Algebra - 1879 - 322 pages
...progression, if we regard the number of terms as limited, there will be five elements for consideration : — 1 The first term. 2. The last term. 3. The number of terms. 4. The common difference. 5. The sum of the terms. These are so related to each other, that, any three of...
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Complete Arithmetic: Elements and Commercial. New Series

Christian Brothers - Arithmetic - 1888 - 484 pages
...may be considered zero. 207. The Quantities considered in Geometrical Progression are as follows : (1) the first term ; (2) the last term ; (3) the number...ratio ; (5) the sum of the terms. Any three of these terms being given, the others may be found. CASE I. 20 8. To find r.ny term, when the first term, the...
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The Common-school Arithmetic: Designed for Learners of Every Class; and ...

Pliny Earle Chase - Arithmetic - 1848 - 300 pages
...the second series. When any three of the five following things are given, the other two may be found, viz. : 1. The first term. 2. The last term. 3. The number of terms. 4. The ratio. 5. The sum of all the terms. PRELIMINARY EXERCISES. 81 — 90. Find the first 9 terms of an increasing geometrical...
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The Western Calculator, Or, A New and Compendious System of Practical ...

Joseph Stockton - Arithmetic - 1839 - 216 pages
...continually, by the divisor 2. In geometrical progression there are five things to be carefully observed. 1. The first term, 2. The last term, 3. The number of term*, 4. The ratio, 5. The sum of all the terms. To find the last term, and svm of all the teries...
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