| Paul Deighan - Arithmetic - 1804 - 504 pages
...three of the following terms being given, the reft may be found. * Th Iftr"1"'! ca^ec* tne E*tr«nes. **3. The Number of Terms, 4. The Ratio. 5. The Sum of** all the Terms. Any three numbers in geometrical progreflion will form an analogy, by making the confequent... | |
| Charles Vyse - Arithmetic - 1806 - 342 pages
...10. 6X2=2+ 10=12 and 6X2=4+8=12. In Arithmetical- Progression there are five Things to be observed, **viz. 1. The first Term. •2. The last Term." 3. The Number of Terms. 4. The** common Excess or Difference. 5. The Aggregate Sum of all the Terms. Any three of which being given,... | |
| Roswell Chamberlain Smith - 1814 - 300 pages
...Progression there are reckoned 5 terms, any three of which being given, the remaining two may b* found, **viz. 1. The first term. 2. The last term. 3. The number of terms. 4. The** common difference. 5. The sum of all the terms. Tht First Term, the Last Term, and the Number of Tema,... | |
| Charles Butler - Mathematics - 1814
...progression ; namely, 1. The least term, •> „ , _ _. > called the extremes. 2. The greatest term, J **3. The number of terms. 4. The ratio. 5. The sum of** all the terms. Any three of these five being given, the remaining two may be found, as follows. 296.... | |
| Michael Walsh - Arithmetic - 1816 - 275 pages
...2X32=4X16=8X8=64. In Geometrical Progression the same five things are tp be observed as in Arithmetical, viz. .]. **The first term. 2. The last term. 3. The number of terms. 4. The** equal difference or ratio: . , 5. The sum of all the terms. NeTE. As the last term in a long series... | |
| Arithmetic - 1818 - 251 pages
...EXTREMES. Any three of the five following terms being given, the oth^p two may be readily found. ' ', **1. The first term. . . 2. The last term. 3. The number of terms. 4. The** comtnpn difference. 5. The sum of all the terms. PROBLEM I. The first term, the last term, and the... | |
| Daniel Parker - Arithmetic - 1828 - 348 pages
...cube, and other roots proved ? ARITHMETICAL PROGRESSION. THERE are fire particulars to be observed **in Arithmetical Progression, viz. : — 1. The first...term. 2. The last term. 3. The number of terms. 4. The** common difference 5. The sum of all the terms. Any three of the foregoing being given, the other two... | |
| Michael Walsh - Arithmetic - 1828 - 314 pages
...4X16=8X8=64. In Geometrical Progression the same five things are to be observed,, as in Arithmetical, **viz. 1. The first term. 2. The last term. 3. The number of terms.** NOTE. Aa the last term in a long series of numbers, is very t«. dious to come at, bj continual multiplication... | |
| James L. Connolly (mathematician.) - Arithmetic - 1829 - 250 pages
...2x32 = 64, and 4X16 = 64. The five things in arithmetical progression are to be pttstrved here also. **1. The first term. 2. The last term. 3. The number of terms. 4. The** common difference, or ratio. 5. The sum of all the terms. As the last term, in a long series of numbers,... | |
| Frederick Augustus Porter Barnard - Arithmetic - 1830 - 288 pages
...Arithmetical Progression. Any three of the five following terms being given, the other lico may be found. **1. The first term. 2. The last term. 3. The number of terms. 4. The ratio. 5. The sum of** all the terms. 1. A man bought 5 sheep, giving $1 for the first ; $3 for the second ; $9 for the third,... | |
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