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" Divide the difference of the extremes by the common difference, and the quotient, increased by 1 , will be the answer. "
Practical and Mental Arithmetic on a New Plan: In which Mental Arithmetic is ... - Page 244
by Roswell Chamberlain Smith - 1832 - 284 pages
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Practical and Mental Arithmetic: On a New Plan, in which Mental Arithmetic ...

Roswell Chamberlain Smith - Arithmetic - 1833 - 228 pages
...H, will be the number of term«, less 1 ; then, 1 ~f- II = J2, the numoer of terms. A. 12. ... •. Hence, when the extremes and common difference are given, to find the number of terms ; — Divide tlte difference of the extremes lytlte common difference, und the quotient, increased by 1, will be...
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The Tutor's Assistant: Being a Compendium of Practical Arithmetic, for the ...

Francis Walkingame - 1833 - 204 pages
...Case 3. The ttvo extremes and the common difference being given, lojind the number of terms. RULE. Divide the difference of the extremes by the common difference, and the quotient increased by unity is the number sought. (6) A person travelling into the country, went 3 miles the first day, and...
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Rose's New Arithmetic: An Explanatory and Practical Arithmetic, Adapted to ...

John Rose - Arithmetic - 1835 - 192 pages
...is the first term found ? Given the extremes (the first and last terms,) and the common difference, to find the number of terms. Divide the difference...difference, and the quotient increased by 1 will be the number of terms required. 1. The extremes are 2 and 53, and the common difference 3; what is the number...
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Treatise on Arithmetic, in Theory and Practice: With an Appendix, Containing ...

James Thomson (LL.D.) - Arithmetic - 1837 - 296 pages
...; required the sum of the scries. 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...
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A New System of Arithmetic, on the Cancelling Plan: Embracing the Rules of ...

Charles Guilford Burnham - Arithmetic - 1837 - 266 pages
...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 last term...
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Practical Mercantile Arithmetic: In which the Theory and Practice of ...

Luther Ainsworth - Arithmetic - 1837 - 298 pages
...miles. CASE SECOND. Q. What is' the second case in arithmetical progression ? A. It is when the two extremes and common difference are given, to find the number of terms ? Q. What is the RULE in this case ? A. Divide the difference of the extremes, by the common difference,...
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A Practical and Theoretical System of Arithmetic: Containing a New System of ...

George Willson - Arithmetic - 1838 - 194 pages
...— 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 first day, and increased his...
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A Practical and Theoretical System of Arithmetic: Containing Several New ...

George Willson - Arithmetic - 1838 - 194 pages
...— 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 first day, and increased his...
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Practical and Mental Arithmetic ...

Roswell Chamberlain Smith - 1839 - 308 pages
...12, the numbu/ of terms. Л. 12. Hence, When the Extremes and Common Difference are given, In Jim L the Number of Terms ; — Divide the difference of...increased by 1, will be the answer. 17. If the extremes he 3 and 45, and the common difference 6, what is the number of terms ? A. 8. . 18. A man, being asked...
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Complete Schoolmaster's Assistant: Being a Plain Comprehensive System of ...

Nathan Daboll - 1839 - 220 pages
...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 progression, giving 5 cents for the...
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