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" Divide the difference of the extremes by the common difference, and the quotient increased by 1 is the number of terms. "
Arithmetick Theoretically and Practically Illustrated - Page 270
by B. M. Tyler - 1827 - 287 pages
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A New System of Arithmetic, on the Cancelling Plan: Embracing the Rules of ...

Charles Guilford Burnham - 1837 - 266 pages
...books purchased. Therefore — When the first and last terms, and the common difference are given, to find the number of terms : RULE. Divide the difference of the extremes by the common difference, and the quotient will be 1 less than the number of terms. 10. If the first term of a series be 2, and the...
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Treatise on Arithmetic, in Theory and Practice: With an Appendix, Containing ...

James Thomson (LL.D.) - 1837 - 296 pages
...Answ. 38^. RULE III. The extremes and the common difference being given, to find the number of terms ; Divide the difference of the extremes by the common difference, and add a unit to the quotient. The reasons of this rule and of the next will be obvious from comparing them...
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A Practical and Theoretical System of Arithmetic: Containing Several New ...

George Willson - 1838 - 194 pages
...their ages ? Ans. 2 years. PROBLEM IV. — Given the first term, last term, and common difference, to find the number of terms. RULE. — Divide the...difference of the extremes by the common difference, and the quotient increased by 1 is the number of terms. 7. A man travelling a journey, went 18 miles the...
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A Practical and Theoretical System of Arithmetic: Containing a New System of ...

George Willson - 1838 - 194 pages
...their ages ? Ans. 2 years. PROBLEM IV. — Given the first term, last term, and common difference, to find the number of terms. RULE. — Divide the...difference of the extremes by the common difference, and the quotient increased by 1 is the number of terms. 7. A man travelling a journey, went 18 miles the...
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The North American Arithmetic: For Advanced Scholars. part third

Frederick Emerson - 1839 - 300 pages
...increase, and also the number of miles travelled. PROBLEM in. The extremes and common difference given, to find the number of terms. RULE. Divide the difference...of the extremes by the common difference, and add 1 to the quotient; the sum will be the number of terms. The difference of the extremes divided by the...
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Complete Schoolmaster's Assistant: Being a Plain Comprehensive System of ...

Nathan Daboll - 1839 - 220 pages
...Ans. 22 miles 3 furlongs 100 yards. CASE IV. TAe first term, last term and common difference given, to find the number of terms. RULE. Divide the difference of the extremes by the common difference, and the quotient increased by 1, will be the number of terms. EXAMPLES. 1 . A man bought cloth in arithmetical...
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The National Arithmetic, on the Inductive System: Combining the Analytic and ...

Benjamin Greenleaf - 1839 - 356 pages
...to the basket ? Ans. 288090 miles, 2 rods. PROBLEM HI. Given the extremes and the common difference, to find the number of terms. RULE. Divide the difference of the extremes by the common difference, and the quotient increased by one, will be the number of terms required. 9. If the extremes are 3 and 45,...
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The North American Arithmetic: Part Third, for Advanced Scholars

Frederick Emerson - 1839 - 300 pages
...miles travelled. PROBLEM in. The extremes and common difference given, to find the number of term?. RULE. Divide the difference of the extremes by the common difference, and add 1 to the quotient; the sum •will be the number of terms. The difference of the extremes divided by...
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A New System of Arithmetic: In which is Explained and Applied to Practical ...

Calvin Tracy - 1840 - 316 pages
...8+1=9, the whole number of terms, or answer required. From the above we derive the following rule : RULE. — Divide the difference of the extremes by...the common difference, and add one to the quotient. 2. A man commenced a journey, and traveled the first day only 4 miles ; after which he gained each...
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Welch's Improved American Arithmetic: Adapted to the Currency of the United ...

1841 - 200 pages
...5m. distance 366m. •«* CASE IV. Given the first term, the last term, and the common difference, to find the number of terms. RULE. — (') Divide...difference of the extremes by the common difference, and the quotient increased by one is the number of terms required. Question. — 1. The first and last...
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