| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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,... | |
| 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... | |
| 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,... | |
| 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... | |
| 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... | |
| 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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