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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. "
The New Complete System of Arithmetick: Composed for the Use of the Citizens ... - Page 241
by Nicolas Pike - 1807 - 352 pages
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Complete Schoolmaster's Assistant: Being a Plain Comprehensive System of ...

Nathan Daboll - 1839 - 220 pages
...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...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,...
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The National Arithmetic, on the Inductive System: Combining the Analytic and ...

Benjamin Greenleaf - Arithmetic - 1839 - 356 pages
...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...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, and the common...
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The North American Arithmetic: For Advanced Scholars. part third

Frederick Emerson - Arithmetic - 1839 - 300 pages
...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...
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Practical and Mental Arithmetic ...

Roswell Chamberlain Smith - 1839 - 308 pages
...Л. 12. Hence, When the Extremes and Common Difference are given, In Jim L the Number of Terms ; — Divide the difference of the extremes by the common difference, and the quotient, increased by 1, will be the answer. 17. If the extremes he 3 and 45, and the common difference 6, what...
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The North American Arithmetic: Part Third, for Advanced Scholars

Frederick Emerson - Arithmetic - 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...
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A New System of Arithmetic: In which is Explained and Applied to Practical ...

Calvin Tracy - Arithmetic - 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...
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The National Arithmetic ...: Combining the Analytic and Synthetic Methods ...

Benjamin Greenleaf - Arithmetic - 1841 - 334 pages
...basket ? Ans. 288090 miles, 2 rods. PROBLEM IIL Given the extremes and the common difference, to find the number of terms. RULE. Divide the difference of...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, and the common...
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Welch's Improved American Arithmetic: Adapted to the Currency of the United ...

Arithmetic - 1841 - 200 pages
...distance 366m. •«* CASE IV. Given the first term, the last term, and the common difference, to find the number of terms. RULE. — (') Divide the difference...extremes by the common difference, and the quotient increased by one is the number of terms required. Question. — 1. The first and last terras, and common...
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Arithmetic on the Productive System: Accompanied by a Key and Cubical Blocks

Roswell Chamberlain Smith - Arithmetic - 1841 - 324 pages
...18. 31. Hence, when the extremes and common difference are given, to find the number of terms : — Divide the difference of the extremes by the common difference, and the quotient, increased by 1, will be the ainicer. 3-2. If the extremes be 3 and 45, and the common difference 6....
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Higher Arithmetic: Designed for the Use of High Schools, Academies, and Colleges

George Roberts Perkins - Arithmetic - 1841 - 274 pages
...the first term, the last term, and the common difference, to find the number of terms, wo have this RULE. Divide the difference of the extremes by the common difference, and to the quotient add one. Examples. 1. The first term of an arithmetical progression is 5, the last...
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