 | Isaac Dalby - 1806 - 526 σελίδες
...the first term of an arithmetical progression. d the common difference of the terms. / the last term. n the number of terms. s the sum of all the terms. Then /, f+d, /•+• 3d, f+ 3d, f + 4d, &c. will be an ascending series or progression, (122 Arith.)... | |
 | George G. Carey - 1818 - 602 σελίδες
...common signs that are employed in Algebra*. Let a represent the first term. x • the last term. c/ the common difference. n . the number of terms. s — — — the sum of the series. 7. Given n, s, and x, to find a. .=.*_. n 8. Given <1, s, and x, to find a. a = </(\d +... | |
 | Benjamin Peirce - 1837 - 300 σελίδες
...section the following notation will be retained. We shall use a = the first term of the progression, I = the last term, r = the common difference, n = the...this case a, r, and n are supposed to be known, and I is to be found. Now the successive terms of the series if it is increasing are a, a -\- r, a -|-... | |
 | Horace Mann - 1851 - 384 σελίδες
...ARITHMETICAL AND GEOMETRICAL PROGRESSION. LET a represent the less extreme of a series, I the greater extreme, n the number of terms, s the sum of all the terms in an arithmetical series, p the product of all the terms in a geometrical series, d the arithmetical... | |
 | Benjamin Peirce - 1851 - 294 σελίδες
...sectioji the following notation will be retained. We shall use a = the first term of the progression, / r= the last term, r = the common difference, n — the number of terms, 8 = the sum of all the terms. 245. Problem. To find the last term of an arithmetical progression when... | |
 | Benjamin Peirce - 1855 - 308 σελίδες
...section the. following notation will be retained. We shall use a = the first term of the progression, / = the last term, r = the common difference, n = the number of terms, S = the sum of all the terms. 245. Problem. To find the last term of an arithmetical progression when its first term, common difference,... | |
 | Benjamin Peirce - 1855 - 296 σελίδες
...the following notation will be retained. We shall use a = the first term of the progression, I ==. the last term, r = the common difference, n = the number of terms, S = the sum of all the terms. 245. Problem. To find the last term of an arithmetical progression when its first term, common difference,... | |
 | Horace Mann, Pliny Earle Chase, Phiny Earie Chase - 1857 - 394 σελίδες
...ARITHMETICAL AND GEOMETRICAL PROGRESSION. LET a represent the less extreme of a series, I the greater extreme, n the number of terms, s the sum of all the terms in an arithmetical series, p the product of all the terms in a geometrical series, d the arithmetical... | |
 | Horace Mann, Pliny Earle Chase - 1857 - 388 σελίδες
...ARITHMETICAL AND GEOMETRICAL PROGRESSION. LET a represent the less extreme of a series, I the greater extreme, n the number of terms, s the sum of all the terms in an arithmetical series, p the product of all the terms in a geometrical series, d the arithmetical... | |
 | Philip Kelland - 1860 - 308 σελίδες
...subtractive. 136. PROP. 2. To find the sum of an arithmetic series. Let a represent the first term, b the common difference, n the number of terms, S the sum of n terms : then S = a + (a + b) + (a + 2b) + . . . + a + (n - 1)6 also S = a + (n — l)b + a + (n -... | |
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Problem. To find the last term of an arithmetical progression when its first term, common difference, and number of terms are known. Solution. In this case a, r, and n are supposed to be known, and I is to be found. 
