 | 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,... | |
 | Elias Loomis - 1862 - 312 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. (205.) If we transpose the term a, and divide by n— 1, we obtain la d= ,; »— 1' that is, in an... | |
 | Benjamin Greenleaf - 1864 - 336 σελίδες
...as the series is an increasing or a decreasing one. Hence the following RULE. To the first term add the product of the common difference by the number of terms less one. EXAMPLES. 1. If the first term is 5, the common difference 3, and the number of terms 20, what is the... | |
 | Henry Bartlett Maglathlin - 1869 - 332 σελίδες
...the preceding case, the last term ll = 3-)-2 X 4, and subtracting the first term 3, we have 2 X 4, or the product of the common difference by the number of terms less one. Hence, to find the common difference, Divide the difference of the extremes by the number of terms... | |
 | Henry Bartlett Maglathlin - 1873 - 362 σελίδες
...the preceding case, the last term llr=3-)-2 X 4, and subtracting the first term 3, we have 2 X 4, or the product of the common difference by the number of terms less one. Hence, to find the common difference, Divide the difference of the extremes by the number of terms... | |
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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. 
