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" Hence, when the extremes and number of terms are given, to find the common difference, — Divide the difference of the extremes by the number of terms, less 1, and the quotient will be the common difference. "
Adams's New Arithmetic: Arithmetic, in which the Principles of Operating by ... - Page 166
by Daniel Adams - 1810 - 180 pages
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The Columbian Calculator: Being a Practical and Concise System of Decimal ...

Almon Ticknor - Arithmetic - 1846 - 274 pages
...first term, the last term, and the number of terms being given, to find the common difference. RULE I. Divide the difference of the extremes by the number...1, and the quotient will be the common difference sought. 1. The extremes are 3 and 39, and the number of terms is 19 ; what is the common dfference...
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Welch's Improved American Arithmetic: Adapted to the Currency of the United ...

Arithmetic - 1846 - 258 pages
...term, the last term, and the number of terms be ing given, to find the common difference. RULE. — (') Divide the difference of the extremes by the number...1, and the quotient will be the common difference. liiieslinn. — 1. How do you find the common difference? EXAMPLES. 1. The extremes are 2 and 53, and...
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An Elementary Arithmetic ...: Serving as an Introduction to the Higher ...

George Roberts Perkins - Arithmetic - 1846 - 266 pages
...term, the last term, and the number of terms, to find the common difference, we have this • RULE. Divide the difference of the extremes by the number of terms, less one,. EXAMPLES. 1. The first term of an arithmetical progression's 5, the last term is 176, and the...
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The North American Arithmetic: for advanced scholars. Part third

Frederick Emerson - Arithmetic - 1847 - 300 pages
...find the common difference. RULE. Subtract the less extreme from the greater, and divide the remainder by the number of terms less 1 , and the quotient will be the common difference. It has been shown under Theorem 3d. that the difference of the extremes is found by multiplying the...
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Practical and Mental Arithmetic on a New Plan: In which Mental Arithmetic is ...

Roswell Chamberlain Smith - Arithmetic - 1847 - 308 pages
...difference. Thus, 28 — 3 =* 25 ; then, 25 -;- 5 = 5 years, the common difference. A. 5 years Hence, To Find the Common Difference ; — Divide the difference of the extremes by the number ot terms, less 1, and the quotient will be the common difference. 2. If the extremes be 3 and Ч& and...
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Arithmetic: In which the Principles of Operating by Numbers are Analytically ...

Daniel Adams - Arithmetic - 1848 - 330 pages
...Divide the whole number added or subtracted, by the num her of additions or subtractions, that is, the difference of the extremes by the number of terms less 1, and the quotient if the number added or subtracted at one time, or the common difference. EXAMPLES FOR PRACTICE. 2....
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Arithmetic, in which the Principles of Operating by Numbers are Analytically ...

Daniel Adams - Arithmetic - 1848 - 342 pages
...RULE. Divide the whole number added or subtracted, by the number of additions or subtractions, that is, the difference of the extremes by the number of terms less 1, and the quotient is the number added or subtracted at one time, or the common difference. EXAMPLES FOR PRACTICE. Z....
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Adam's New Arithmetic: Arithmetic, in which the Principles of Operating by ...

Daniel Adams - Arithmetic - 1848 - 330 pages
...Divide the whole number added or subtracted, by the num ber of additions or subtractions, that is, the difference of the extremes by the number of terms less 1, and the quotient is the number added or subtracted at one time, or the common difference. EXAMPLES FOR PRACTICE. 2....
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The Elements of Arithmetic...: In which Decimal and Integral ..., Part 2

Pliny Earle Chase - Arithmetic - 1848 - 244 pages
...difference of the extremes 24, must be 8 times the common difference, which is therefore 3. RULE. \ Divide the difference of the extremes by the number of terms less one, and the quotient will be the common difference. This difference repeatedly added to the less,...
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Higher Arithmetic: Or the Science and Application of Numbers, Combining the ...

James Bates Thomson - Arithmetic - 1849 - 438 pages
...12 hours? 604. To find the common difference, when the extremes and the number of terms are given. Divide the difference of the extremes by the number...1, and the quotient will be the common difference required. OBS. The truth of this rule is manifest from Art. 602. 4. The extremes are 5 and 56, and...
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