 | John Bonnycastle - 1813 - 456 páginas
...+ (a + 4d) — a + d+ (a + 3d) = 2 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 he equal to the first term minus that product.... | |
 | John Bonnycastle - 1818 - 326 páginas
...then will a+(a+4d)=(a+d)+(a+3d)=2 X(o+2«i). 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.... | |
 | John Bonnycastle - 1825 - 336 páginas
...o + (o + 4d) = (o + d) + ,a+ -:d)= x (a+td.) 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 it ^ the series be decreasing, it will be equal to the first term minus that product.... | |
 | John Radford Young - 1832 - 760 páginas
[ Lo sentimos, el contenido de esta página está restringido. ] | |
 | Charles Davies - 1835 - 378 páginas
...which marks the place of it, the 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,... | |
 | 1838 - 372 páginas
...which marks the place of it, the 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 make n=l, we have l=za ; that is, the series will have but one term. If we make... | |
 | John Radford Young - 1839 - 332 páginas
...also when the series is decreasing. THEOREM 4. In any increasing arithmetical progression, the last term is equal to the first term plus the product of the common difference and number of terms less one ; but if the progression be decreasing, then the last term is equal to... | |
 | John D. Williams - 1840 - 216 páginas
...then will a+ (a 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.... | |
 | John D. Williams - 1840 - 634 páginas
...senes be a, a-\-d, a+2d, a+3d, a + 4d, then will 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.... | |
 | Charles Davies - 1842 - 368 páginas
...it, the expression for this general term, is l=a+(nl)r. That is, the last term is equal to the Jirst term, plus the product of the common difference by the number of terms less one. If we make n—1, we have I—a; that is, the series will have but one term. If we... | |
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That is, any term is equal to the first term, plus the product of the common difference by the number of preceding terms. 
