 | Warren Colburn - 1826 - 290 σελίδες
...impossible to express the whole until a particular value is given to n. Let I be the term required, then Hence, any term may be found by adding the product...Example. What is the 10th term of the series 3, 5, 7, 9, (fee. In this a = 3, r == 2, and n — 1=9. / = 3 + 9'cX2 = 21. In a decreasing series, r is negative.... | |
 | Warren Colburn - 1828 - 330 σελίδες
...of the expression, as it is impossible to express the whole until a particular value is given to n. Hence, any term may be found by adding the product...series 3, 5, 7, 9, &c. In this a = 3, r = 2, and n — 1 =9. 1 = 3 + 9 X2 = 21. In a decreasing series, r is negative. .? Example. What is the 13th term... | |
 | Warren Colburn - 1828 - 292 σελίδες
...given to n. Let I be the term required, then Hence, any term may be found by adding the product oFthe common difference by the number of terms less one,...What is the 10th term of the series 3, 5, 7, 9, &c, [n this a = 3, r = 2, and ,n — 1=9. / = 3+9 X2 = 21. [na decreasing series, r is negative. f Example.... | |
 | Warren Colburn - 1828 - 288 σελίδες
...impossible to express the whole until a particular value is given to n. Let I be the term required, then Hence, any term may be found by adding the product...difference by the number of terms less one, to the first terra. Example. What is the 10th term of the series 3, 5, 7, 9, &c. In this a = 3, r = 2, and n —... | |
 | Warren Colburn - 1829 - 284 σελίδες
...impossible to express the whole until a particular valuers given to n. Let I be the term required, then Hence, any term may be found by adding the product...5, 7, 9, &c. In this a = 3, r = 2, and n — 1=9. In a decreasing series, r is negative. Example. » What is the 13th term of the series 43, 45, 42,... | |
 | John Bonnycastle - 1829 - 372 σελίδες
...Or, the sum of any increasing arithmetical series may be found, without considering the last term, by adding the product of the common difference by the number of terms tess one to twice the first term, and then multiplying the result by half the number of terms. And,... | |
 | Warren Colburn - 1830 - 288 σελίδες
...of the expression, as it is impossible to express the whole until a particular value is given to n. Hence, any term may be found by adding the product...5, 7, 9, &c. In this a = 3, r = 2, and n — 1=9. / = 3+9 X2 = 21. En a decreasing series, r is negative. Example. What is the 13th term of the series... | |
 | Warren Colburn - 1830 - 290 σελίδες
...impossible to express the whole until a particular value is given to n. Let I be the term required, then • Hence, any term may be found by adding the product of the ffi common difference by the number of terms less one, to the first term. Example. f What is the 10th... | |
 | Warren Colburn - 1833 - 300 σελίδες
...impossible to express the whole until"a particular value is given to n. Let / be the term required, then Hence, any term may be found by adding the product of the common difference by die number of terms less one, to the first term. Example. What is the 10th term of the series 3, 5,... | |
 | Charles Davies - 1835 - 378 σελίδες
...expression for this general term, is l=a+(n—l)r. That is, the last term is equal to the first term, plus the product of the common difference by the number of terms less one. If we suppose n successively equal to 1, 2, 3, 4, &c. we shall obtain the first, second, third, fourth,... | |
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The points ..... are used to show that some terms are left out of the expression, as it is impossible to express the whole until a particular value is given to n. 
