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" Hence, when the first term, number of terms, and ratio of an increasing series are give?i, to find the last term, RULE!. Multiply the first term by the ratio raised to a power one less than the number of terms. NOTE 1. "
Smith and Duke's The American Statistical Arithmetic: Designed for Academies ... - Σελίδα 230
των Francis Henney Smith - 1845 - 282 σελίδες
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A New System of Arithmetick: In which the Rules are Familiarly Demonstrated ...

William Ruger - 1832 - 282 σελίδες
...tiplying the second term by the ra\ tio, and so on; hence it is obvious Ans. or 9th term. 26244 that the ratio raised to a power one less than the number of terms, and 1liat power multiplied by the first term, mast give the last term, because the same multipliers...

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

Calvin Tracy - 1840 - 326 σελίδες
...or factor, eleven times ; that is, any term of a series is equal to the first term multiplied by the ratio raised to a power one less than the number of terms. Thus, 2 x 3 x 3 x 3x3x3x3x3x3x3x3x3" = 3x2= 354294, Ans. or twelfth term. . , 2. A person purchased...

Ruger's Arithmetick, with Questions and Answers: A New System of Arithmetick ...

William Ruger - 1841 - 268 σελίδες
...tiplying the second term by the ratio, and so on ; hence it is obvious, Ans. or 9th term, 26244 that the ratio raised to a power one less than the number of terms, and thai power multiplied by the first term, must give the last term, because the same multipliers...

The American Statistical Arithmetic: Designed for Academies and Schools

Francis Henney Smith - 1845 - 710 σελίδες
...100, 20, 4 ? 237* From the manner in which an increasing geometrical series is formed, we see that 2d term = 1st term multiplied by the common ratio. 3d...term, 3 the OPERATION. common ratio, and the number ix 36 = 1 x 243=243. of terms six, the sixth term will be equal to the first term 1, multiplied by...

Arithmetic: In which the Principles of Operating by Numbers are Analytically ...

Daniel Adams - 1848 - 322 σελίδες
...ratio of an increasing series are given, to find the last term, RULE. Multiply the first term by the ratio raised to a power one less than the number of terms. NOTE 1 . — To get a high power of a number, it is convenient to write dowu a few of the lower powers,...

Arithmetic, in which the Principles of Operating by Numbers are Analytically ...

Daniel Adams - 1848 - 342 σελίδες
...ratio of an increasing series are given, to find the last term, RULE:. Multiply the first term by the ratio raised to a power one less than the number of terms. NOTE 1. — To get a high power of a number, it is convenient to write down B few of'the lower powers, and...

Adam's New Arithmetic: Arithmetic, in which the Principles of Operating by ...

Daniel Adams - 1848 - 330 σελίδες
...ratio of an increasing series are given, to find the last term, RULE. Multiply the first term by the ratio raised to a power one less than the number of terms. NOTE 1 . — To get a high power of a number, it is convenient to write down a few of tha lower powers,...

Normal Arithmetic: A Text-book, Theoretical and Practical, in Six Parts ...

Silas Lawrence Loomis - 1859 - 324 σελίδες
...LAST TERM, RATIO, AND NUMBER OF TERMS, TO FIND THE FIRST TERM. RULE. — Divide the last term by the ratio, raised to a power one less than the number of terms. PROB. CLXI. — GIVEN, THE EXTREMES AND RATIO, TO FIND THE SUM OF THE SERIES. RULE. — Divide the...

Adams's Improved Arithmetic: Arithmetic, in which are Combined the Analytic ...

Daniel Adams - 1861 - 452 σελίδες
...ratio of an increasing series are given, to find the last term, RUX.S. Multiply the first term by the ratio raised to a power one less than the number of terms. To get a high power of a number, it is convenient to write down a few of the lower powers, and multiply...

Arithmetic for the Use of Schools

George Heppel - 1864 - 234 σελίδες
...first multiplied by 27, or 3 3 , and so on, any term being equal to the product of the first term and the common ratio raised to a power one less than the number of terms. Thus, the 9th term of the series is 7 x3 8 =45927. Again, the 12th. term of the series, 56, 28, 14....




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