 | Warren Colburn - 1841 - 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...term of the series 3, 5, 7, 9, &c. In this a = 3, •• = 2, and n — 1=9. [na decreasing series, r ie negative. Example. What is the 13th term of... | |
 | Charles Davies - 1842 - 284 σελίδες
...That is : The first term of an increasing arithmetical progression is equal to the last term, minus the product of the common difference by the number of terms less one. From the same formula, we also find _ l—a "~n — l' That is : In any arithmetical progression, the... | |
 | Charles Davies - 1842 - 368 σελίδες
...That is, the first term of an increasing arithmetical progression is equal to the last term, minus the product of the common difference by the number of terms less one. From the same formula, we also find la n-1 That is, in any arithmetical progression, the common difference... | |
 | Warren Colburn - 1844 - 280 σελίδες
...the whole until a particular value is given to n. Let I be the term required, then l = a + (n— \)r. 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. [na decreasing series, ri? negative. i Example. What is the 13th term of the series... | |
 | Charles Davies - 1848 - 302 σελίδες
...That is : The first term of an increasing arithmetical progression is equal to the last term, minus the product of the common difference by the number of terms less one. From the same formula, we also find _l-a That is : In any arithmetical progression, the common difference... | |
 | Stephen Chase - 1849 - 348 σελίδες
.../; whence, obviously, Z=a-|-(n — 1)Z>. (1) 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. NOTE. Of course, the common difference must be taken positive or negative, according aa the series... | |
 | John Bonnycastle - 1851 - 288 σελίδες
...X (a + 2d). 5. The last term of any increasing arithmetical series is equal to the first term plus the product of the common difference by the number of terms less one ; and if the series be decreasing, it will be equal to the first term minus that product. Thus, the... | |
 | Charles Davies - 1860 - 330 σελίδες
...That is : The first term of an increasing arithmetical progression is equal to the last term, minus the product of the common difference by the number of terms less one. From the same formula, we also find, , I -- a d = — — - • n — 1 That is : In any arithmetical... | |
 | Horatio Nelson Robinson - 1860 - 444 σελίδες
...the common difference; and so on. In all cases the difference between tho two extremes is equal to the product of the common difference by the number of terms less 1. Hence the RULE. Multiply the common difference by the number of termi less 1 / add the product to... | |
 | Charles Davies - 1861 - 322 σελίδες
...That is : The first term of an increasing arithmetical progression is equal to the last term, minus the product of the common difference by the number of terms less one. From the same formula, we also find U« - _ • n — 1 That is : In any arithmetical progression,... | |
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Hence, any term may be found by adding the product of the common difference by the number of terms less one, to the first term. 
