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" Raise the ratio to a power whose index is equal to the number of terms, from which subtract 1 ; divide the remainder by the ratio, less 1, and the quotient, multiplied by the first term, will be the answer. "
Introduction to the National Arithmetic: On the Inductive System Combining ... - Σελίδα 296
των Benjamin Greenleaf - 1859 - 324 σελίδες
Πλήρης προβολή - Σχετικά με αυτό το βιβλίο

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

Nicolas Pike - 1808 - 470 σελίδες
...number of terms, to Jind the sum of the serif J. R'-LF. Raise the ratio to a power, whose index shall be equal to the number of terms, from which subtract...ratio, less 1, and the quotient, multiplied by the first term, will give the sum of the series. EXAMPLES. 1. If the first term be 5, the ratio 3, and...

A New and Concise System of Arithmetick: Containing Vulgar, Decimal, and ...

Beriah Stevens - 1822 - 436 σελίδες
...Cor. 1st. , Or thus : Raise the ratio to a power whose index shall be equal to the number of tenns, from which subtract 1 ; divide the remainder by the...ratio, less 1, and the quotient multiplied by the first term, will give the sum of the series. EXAMPLES. \. If the first term be 5, the ratio 3, and...

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

Nicolas Pike - 1832 - 538 σελίδες
...nu>nher of terms to find the furr of the series. RULE. Raise the ratio to a power, whose index shall be equal to the number of terms, from which subtract 1 ; divide the remainder by the ratio, less l,and the quotient, multiplied by the first term, will give the sum vf the aeries.* EXAMPLES. 1. If...

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

Nicolas Pike - 1822 - 562 σελίδες
...to find the sum of the series. KULC. Raise the ratio to a power, whose index shall he equal to tlw, number of terms, from which subtract 1 ; divide the remainder by the ratio, less l,and lb,e quotient, multiplied by the first term, will give the sum of the series.* EXAMPLES. 1. If...

An Elementary Treatise on Arithmetic, in Theory and Practice: Adapted to the ...

James Ryan - 1827 - 290 σελίδες
...PROBLEM I. — The first term and the ratio being given to find any other proposed term. 212. RULE. — Raise the ratio to a power whose index is equal to the number of terms which precede the required term : then, if it be an increasing series, multiply the first term by the...

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

Daniel Adams - 1848 - 322 σελίδες
...Hence, the first term, ratio, and number of terms being given, to find the sum of the series, A RULE. Raise the ratio to a power whose index is equal to the number of teims, from which subtract 1, and divide the remainder by the ratio less 1 ; the quotient. is the sum...

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

Daniel Adams - 1828 - 266 σελίδες
...first term, the ratio, and the number of terms, are given, to find the sun or amount of the series, — Raise the ratio to a power whose index is equal to...ratio, less 1, and the quotient, multiplied by the first term, will be the answer. Applying this rule to the last example, 312 = 531441 531441 — 1 X...

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

Daniel Adams - 1828 - 286 σελίδες
...ratio, and the number of terms, i given, to find the sum or amount of the series, — Raise the ra to a power whose index is equal to the number of terms, fri which subtract 1 ; divide the remainder by the ratio, less and the quotient, multiplied by the...

The Practical Arithmetic: In which the Principles of Operating by Numbers ...

1829 - 196 σελίδες
...the ratio, and the number of terms are given, to find the sum or amount of the series, JJY9. RILE. Raise the RATIO to a power whose index is equal to...subtract 1 ; divide the remainder by the RATIO LESS ONE, and the quotient multiplied by the first term, will be the answer. Applying the rule to the last...

Adams's New Arithmetic

Daniel Adams - 1830 - 280 σελίδες
...first term, the ratio, and the number of terms, are given, to find the sum or amount of the series, — Raise the ratio to a power whose index is equal to...ratio, less 1, and the quotient, multiplied by the first term, will be the answer. Applying this nile to the last example, 312 = 531441, and 531441 —...




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