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" One of the extremes, the ratio, and the number of terms, being given, to find the other extreme. "
Elements of Arithmetic: For Schools and Academies. In which Decimal and ... - Page 131
by Pliny Earle Chase - 1848 - 240 pages
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The Tutor's Assistant Modernised: Or, A Regular System of Practical ...

Thomas Peacock - Arithmetic - 1791 - 302 pages
...How many children had he ? Anf. 20 childrer. PROBLE M. IV. • One extreme, the common difference, and the number of terms being given, to find the other extreme. RULE. . Subtract one from the number of terms, and multiply the common difference by the remainder....
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A New and Easy Introduction to the Mathematics: Containing. A system of ...

Ira Wanzer - Arithmetic - 1831 - 408 pages
...amount of $1 for 1 year; and hence, the answer is LO6i X20=l ,26247696x20=$25.2495392 * PROBLEM III. — One of the extremes, the ratio, and the number of terms being given, to find the sum of the series. RULE. — Find the other extreme, by Problem II., and then find the sum of the series...
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The Tutor's Assistant: Being a Compendium of Practical Arithmetic, for the ...

Francis Walkingame - 1833 - 204 pages
...taken = the reciprocal of the fraction. Thus, when the ratio is J, r = |. Case 1. The less extreme, the ratio, and the number of terms, being given, to find the greater extreme (or any remote term) without producing all the intermediale terms. RULE. 1. When the...
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A system of arithmetic, with the principles of logarithms

Richard Frederick Clarke (the elder.) - 1833 - 158 pages
...225. 8. Find two geometrical means between 15 and 5145. AND PROGRESSION. PROBLEM 3d. The first term, the ratio, and the number of terms being given, to find the last or any other term. ExampleIf the first term be 2, the ratio 2, and the number of terms 19, what...
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The Western Practical Arithmetic: Wherein the Rules are Illustrated, and ...

Arithmetic - 1838 - 218 pages
...term. 3. -The number of terms. 4. The ratio. 5. The sum of all the terms I CASE 1. The first term, the ratio, and the number of terms being given, to find the last term. RULE. — Raise the -ratio to a power, whose index is me less than the number of terms ;...
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The Elements of Arithmetic ... in which Decimal and Integral Arithmetic are ...

Pliny Earle Chase - 1844 - 258 pages
...common difference. 5. The sum of all the terms. PROBLEM I. One of the extremes, the common difference, and the number of terms being given, to find the other extreme and the sum of all the terms. What is the tenth term of an ascending series, the first term being 1...
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The Rational Arithmetic: In which the Science is Fully Developed, the Art ...

James S. Russell - Arithmetic - 1847 - 340 pages
...term in the series 27, 9, 3, &c. ? 4O1. PROBLEM IV. To FIND THE SUM or THE SERIES. Either extreme, the ratio, and the number of terms, being given, TO FIND THE SUM OF THE SERIES ; find the other extreme by problem II. , then multiply the last extreme by the ratio,...
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Arithmetic: In which the Principles of Operating by Numbers are Analytically ...

Daniel Adams - Arithmetic - 1848 - 324 pages
...is the number added or subtracted at one lime. IT '-31C. One of the extremes, the common difference, and the number of terms being given, to find the other extreme. 1. A man bought 100 yards of cloth, giving 4 cents for the first yard, 7 cents for the second, 10 cents...
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Arithmetic, in which the Principles of Operating by Numbers are Analytically ...

Daniel Adams - Arithmetic - 1848 - 342 pages
...is the number added or subtracted at ono lime. IT 216. One of the extremes, the common difference, and the number of terms being given, to find the other extreme. 1. A man bought 100 yards of cloth, giving 4 cents for the first yard, 7 cents for the second, 10 cents...
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Adam's New Arithmetic: Arithmetic, in which the Principles of Operating by ...

Daniel Adams - Arithmetic - 1848 - 330 pages
...the number added o: subtracted at one time. » IT S»1O. One of the extremes, the common difference, and the number of terms being given, to find the other extreme. 1. A man bought 100 yards of cloth, giving 4 cents for the first yard, 7 cents for the second, 10 cents...
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