 | 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,... | |
 | A. Turnbull - 1836 - 368 σελίδες
...above. We have seen, by the last paragraph, that the last term of the series is the first term with the product of the common difference, by the number of terms less one added to it Thus, /+ (» — I) d — I : consequently, if we subtract the first term from the... | |
 | 1838 - 372 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 nl That is, in any arithmetical progression, the common difference... | |
 | Charles Davies - 1839 - 264 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 n— 1 That is : In any arithmetical progression, the common... | |
 | John D. Williams - 1840 - 216 σελίδες
...f4i)=H-^+(a+3rf)==2(a+2rf). 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 is equal to the first term minus that product. Thus, the... | |
 | John D. Williams - 1840 - 634 σελίδες
...and s the sum of the series. Or, the sum of any increasing arithmetical series may be found by adding the product of the common difference by the number of terms less one, to twice the first term, and then multiplying the result by half the number of terms. And, if... | |
 | 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... | |
 | 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,... | |
 | Warren Colburn - 1844 - 280 σελίδες
...given to n. Let I be the term required, then l = a + (n— \)r. 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. • , Example. What is the 10th term of the series 3, 5, 7, 9, &c. In this... | |
 | 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... | |
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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. 
