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" ... that is, Any term of a geometric series is equal to the product of the first term, by the ratio raised to a power, whose exponent is one less than the number of terms. EXAMPLES. 1. "
New Elementary Algebra - Σελίδα 299
των Benjamin Greenleaf - 1870 - 324 σελίδες
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Arithmetic: In which the Principles of Operating by Numbers are Analytically ...

Daniel Adams - 1848 - 322 σελίδες
...the first term, number of terms, and 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...

Elements of Algebra: Tr. from the French of M. Bourdon. Revised and Adapted ...

Charles Davies - 1835 - 378 σελίδες
...precede it. That is, the last term of a geometrical progression is equal to the first term multiplied ' by the ratio raised to a power whose exponent is one less than the number of terms. For example, the 8lh term of the progression 2 : 6 :. 18 : 54 . . ., is equal to 2x37=2x2187=4374....

Elements of Algebra

1838 - 372 σελίδες
...precede it. That is, the last term of a geometrical progression is equal to the first term multiplied by the ratio raised to a power whose exponent is one less than the number of terms. 1. Find the 5th term of the progression 2 : 4 : 8 : 16, &c, in which the first term is 2 and the common...

Mental and Practical Arithmetic

Charles Davies - 1838 - 292 σελίδες
...first term, the common ratio, and the number of terms, to find the last term. RULE. Raise the ratio to a power whose exponent is one less than the number of terms, and then multiply the power by the first term, the product will be the last term. EXAMPLES. 1. The...

First Lessons in Algebra: Embracing the Elements of the Science

Charles Davies - 1839 - 272 σελίδες
...precede it. Hence, to find the last term of a progression, we have the following RULE. I. Raise the ratio to a power whose exponent is one less than the number of terms. II. Multiply the power thus found by the first term: the product will be the required term. QUEST....

Elements of Algebra

Charles Davies - 1842 - 368 σελίδες
...precede it. That is, the last term of a geometrical progression is equal to the f,rst term multiplied by the ratio raised to a power whose exponent is one less than the number of terms. 1. Find the 5th term of the progression 2:4:8:16, &c, in which the first term is 2 and the common ratio...

Elementary Algebra: Embracing the First Principles of the Science

Charles Davies - 1842 - 284 σελίδες
...precede it. Hence, to find the last term of a progression, we have the following RULE. I. Raise the ratio to a power whose exponent is one less than the number of terms. II. Multiply the power thus found by the first term: the product will be the required term. QUEST....

Arithmetic, designed for academies and schools, with answers

Charles DAVIES (LL.D.) - 1843 - 348 σελίδες
...first term, the common ratio, and the number of terms, to find the last term. RULE. Raise the ratio to a power whose exponent is one less than the number of terms, and then multiply the power by the first term, the product will be the last term. EXAMPLES. 1. The...

Arithmetic Designed for Academies and Schools: With Answers

Charles Davies - 1844 - 666 σελίδες
...first term, the common ratio, and the number of terms, to find the last term. RU1E. Raise the ratio to a power whose exponent is one less than the number of terms, and then multiply the power by the fa-st term, the product mil be the last term. EXAMPLES. 1. The first...

The University Arithmetic: Embracing the Science of Numbers, and Their ...

Charles Davies - 1846 - 370 σελίδες
...given the first term, the common ratio, and the number of terms, to find the last term, Raise the ratio to a power whose exponent is one less than the number of terms, and then multiply the power by the first term : the product will be the last term. EXAMPLES. 1 . The...




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