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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 Youth's Assistant in Theoretick and Practical Arithmetic - Σελίδα 128
των Zadock Thompson - 1826 - 164 σελίδες
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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
....iboo+i X 1000 " / =500500 Anfwer. 2 PROBLEM 3. Given the extremis and the common dtffsr~ fnce, to Jind the number of terms. RULE. — Divide the difference...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 New Complete System of Arithmetick: Composed for the Use of the Citizens ...

Nicolas Pike - 1807 - 370 σελίδες
...? 1000+ i X 1000 =500500 Anf<wer. 2 PROBLEM 3 Given the extremes and the common difference, tojlnd the number of terms. RULE — Divide the difference...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
...distance 366 miles. PR0BLEM III. Given thefirst term, the last term, and the common difference^ tofmd the number of terms. RULE.* Divide the difference...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 1, gives...

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...

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

Nicolas Pike - 1809 - 312 σελίδες
...ICOO+IXIOOO 5=500500 Ans. 2PROBLEM III. Giventhtextremtf -and the common difference> to find the numbir of terms. RULE. Divide the difference of the extremes by the common difference, and the quotient increafed by i wilt be the number of. terms required. EXAMPLES. i. The extremes are 3 and 39, and the...

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 Arithmetic: Reprinted from the Mathematical Text-book

Samuel Webber - 1812 - 260 σελίδες
...of terms less 1 ; hence this quotient, augmented by 1, must be the answer to the question. fererice, and the quotient, increased by 1, is the number of...common difference 3 ; what is the number of terms ? 53 2 S^T 17 1 ~18 In any Arithmetical Progression, the sum of any two of its terms is equal to the...

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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