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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. "
Daboll's Schoolmaster's Assistant: Improved and Enlarged: Being a Plain ... - Σελίδα 196
των Nathan Daboll - 1829 - 240 σελίδες
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The School-master's Guide: Or, a Complete System of Practical Arithmetic ...

Charles Hutton - 1766 - 214 σελίδες
...is 135/. 4*. P«QPROBLEM VI. Given the extremes a'nd the common difference, to find 1 . The number of terms. RULE. Divide the difference of the extremes by the common difference, add i to the quotient, and the fum }vill be the number of terms. 2. The fum of the feries. Having found...

Arithmetic, Rational and Practical: Wherein the Properties of Numbers are ...

John Mair - 1772 - 376 σελίδες
...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...

Mathematics: Compiled from the Best Authors and Intended to be the ..., Τόμος 1

1801 - 446 σελίδες
...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,...

The New Complete System of Arithmetic: Composed for the Use of the Citizens ...

Nicolas Pike - 1802 - 350 σελίδες
..." / =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...

The Arithmetical Magazine, Or, Mercantile Accountant: Adapted to the ...

William M. Finlay - 1803 - 272 σελίδες
...common dif. PROBLEM V. Given the first term, the last term, and common difference, to find the number of terms. RULE.— •Divide the difference of the extremes by the common difference— Jhe quotient + lj "»ñu be the number of terms required. EXAMPLE. Given the first, 7 the last, S l...

The New Complete System of Arithmetick: Composed for the Use of the Citizens ...

Nicolas Pike - 1807 - 370 σελίδες
...X 1000 =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...

Mathematics: Compiled from the Best Authors, and Intended to be the ..., Τόμος 1

Samuel Webber - 1808 - 466 σελίδες
...miles. PR0BLEM III. Given thefirst term, the last term, and the common difference^ tofmd the number of terms. RULE.* Divide the difference of the extremes...difference, and 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...

A New and Complete System of Arithmetick: Composed for the Use of the ...

Nicolas Pike - 1808 - 470 σελίδες
...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...

The Columbian Arithmetician: Or New System of Theoretical and Practical ...

1811 - 230 σελίδες
...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....

A System of Practical Arithmetic: Applicable to the Present State of Trade ...

Jeremiah Joyce - 1812 - 274 σελίδες
...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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