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" 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. "
The Common School Arithmetic ... - Page 312
by James Stewart Eaton - 1868 - 312 pages
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Arithmetic, Rational and Practical: Wherein the Properties of Numbers are ...

John Mair - Arithmetic - 1772 - 376 pages
...extremes, and common difference, to find the number of terms 5 that is, given I. II. IV. to End III. RULE. Divide the difference of the extremes by the common difference, and the quot plus unity is the number of terms, by Theorem IV. EXAMPLE I. A fetting out on a journey, travels...
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Mathematics: Compiled from the Best Authors and Intended to be the ..., Volume 1

Mathematics - 1801 - 426 pages
...fast term, the last term, and the common dIfference, to Jind the number of Serins. P.U1.E.* . jpivide the difference of the extremes by the common Difference, and the quotient, increased by i, is the number of terms required. . ~" EXAMPLES. * By the last problem,' the difference of the extremes,...
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The New Complete System of Arithmetic: Composed for the Use of the Citizens ...

Nicolas Pike - Arithmetic - 1802 - 352 pages
...=500500 Anfwer. 2 PROBLEM 3. Given the extremis and the common dtffsr~ fnce, to Jind the number of terms. RULE. — Divide the difference of the extremes by the common difference, and the quotient increafed by i will be the number of terms required. EXAMPLES. I. The extremes are 3 and 39, and the...
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The New Complete System of Arithmetick: Composed for the Use of the Citizens ...

Nicolas Pike - Arithmetic - 1807 - 352 pages
...=500500 Anf<wer. 2 PROBLEM 3 Given the extremes and the common difference, tojlnd the number of terms. RULE — Divide the difference of the extremes by the common difference, and the quotient increafed by i will be the number of terms required. EXAMPLES. i. The extremes are 3 and 39, and the...
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Mathematics, Volume 1

Samuel Webber - Mathematics - 1808 - 470 pages
...PR0BLEM III. Given thefirst term, the last term, and the common difference^ tofmd the number of terms. RULE.* Divide the difference of the extremes by the...the quotient, increased by 1, is the number of terms required. * By the last problem, the difference of the extremes, divided by the number of terms less...
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A New and Complete System of Arithmetick: Composed for the Use of the ...

Nicolas Pike - Algebra - 1808 - 468 pages
...PROBLEM PROBLEM III. Given the extranet and the common difference, to fad the number of terms, RutE.* — Divide the difference of the extremes by the common difference, and the quotient increased by 1 will be the number of terms required. EXAMPLES. 1 st. The extremes are 3 and 39, and the common difference...
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The Columbian Arithmetician: Or New System of Theoretical and Practical ...

American - Arithmetic - 1811 - 216 pages
...ftrike in 12 hours ? extremes 1+- 12=13,x (i 12=) 6=78 A. 2; or 1н- 12=13 x 12=150(78 times. A. RULE 2. Divide the difference of the extremes by the common difference, and the quotient increafed by one is the number of terms. Ex. if a man gave his youngeft fon 400 S, the next 630, &c....
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A System of Practical Arithmetic: Applicable to the Present State of Trade ...

Jeremiah Joyce - Arithmetic - 1812 - 276 pages
...III. The extreme terms a and z, and common difference d being given, to find the number of terms n. RULE. Divide the difference of the extremes by the common difference, and the quotient increased by unity is the number sought : or + i ~ n. Ex. 1. When the extremes are 4 and 106, and the common difference...
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Daboll's Schoolmaster's Assistant: Improved and Enlarged : Being a Plain and ...

Nathan Daboll - Arithmetic - 1813 - 242 pages
...difference, tc find the number of terms. RULE. — Divide the difference of the extremes by the commot difference, and the quotient increased by 1 is the number of terms EXAMPLES. 1 . If the extremes be 3 and 45, and the common diffei ence 2 ; what is the number of terms...
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Practical and Mental Arithmetic, on a New Plan, in which Mental Arithmetic ...

Roswell Chamberlain Smith - 1814 - 300 pages
...A. 12. Hence, When the Extremes and Common Difference aregieeii, to▀rul the Number of Term╗ ;— Divide the difference of the extremes by the common difference, and the quotient, increased by 1, will be the answer. 17. If the extremes be 3 and 45, and the common difference 6, what is lh* •umber...
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