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" Divide the difference of the extremes by the number of terms, less 1, and the quotient will be the common difference. "
The Teachers' Assistant: Or a System of Practical Arithmetic - Page 172
by Stephen Pike - 1824 - 198 pages
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The Elements of Arithmetic ... in which Decimal and Integral Arithmetic are ...

Pliny Earle Chase - 1844 - 258 pages
...Then the 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, or subtracted...
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A manual of arithmetic

George Hutton (arithmetic master, King's coll. sch.) - 1844 - 276 pages
...-:- 7 = 3, the common difference; and the whole series 3 : 6 : 9 : 12 : 15: 18 : 21: 24. Hence the RULE. Divide the difference of the extremes by the number of terms less 1, and the quotient will be the " common difference, or ratio of the progression. EXAMPLES FOR PRACTICE....
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Elementary and practical Arithmetic on the inductive system, by analysis and ...

Charles WATERHOUSE - Arithmetic - 1844 - 228 pages
...first term, last term, and number of terms, to find tiie common difference ; or sum of all the terms. RULE. — Divide the difference of the extremes by the number of terms less 1, the quotient will be the difference. Multiply the sum of the extremes by the number of terms, and...
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The National Arithmetic, on the Inductive System: Combining the Analytic and ...

Benjamin Greenleaf - Arithmetic - 1844 - 352 pages
...term, last term, and the number of terms being given, to find the common difference. RULE. JDivide the difference of the extremes by the number of terms less one, and the quotient is the common difference. 1. The extremes are 3 and 45, and the number of terms is...
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A New Practical and Theoretical Arithmetic: In which in Addition to the ...

Horatio Nelson Robinson - Arithmetic - 1845 - 310 pages
...of the extreme terms, or mean term, by the number of terms. RULE 3. To find the common difference. Divide the difference of the extremes by the number of terms less one. RULE 4. To find the number of terms. Divide the difference of the extreme terms by the common difference,...
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Welch's Improved American Arithmetic: Adapted to the Currency of the United ...

Arithmetic - 1846 - 258 pages
...basket? Ans. 5 miles, 1300 yards. CASE III. The first term, the last term, and the number of terms be ing given, to find the common difference. RULE. — (')...difference of the extremes by the number of terms less 1, and the quotient will be the common difference. liiieslinn. — 1. How do you find the common difference?...
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An Elementary Arithmetic ...: Serving as an Introduction to the Higher ...

George Roberts Perkins - Arithmetic - 1846 - 266 pages
...first 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 number...
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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 of terms, less 1, and the quotient will be the common difference sought. 1. The extremes are 3 and 39, and the number...
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The Elements of Arithmetic...: In which Decimal and Integral ..., Part 2

Pliny Earle Chase - Arithmetic - 1848 - 244 pages
...Then the 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, or subtracted...
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The Youth's Assistant in Theoretic and Practical Arithmetic: Designed for ...

Zadock Thompson - Arithmetic - 1848 - 184 pages
...first term, the last term, and the number of terms given to find the common difference. RDI.E. — Divide the difference of the extremes by the number of terms, less 1, and the quotient will be the common difference. 2. If the first term of a series be 8, the last...
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