 | George Roberts Perkins - Arithmetic - 1851 - 356 pages
...by three times the common difference ; and so on, for the succeeding term. Hence, when we have given the first term, the common difference, and the number of terms, to find the last term, we have this RULE. To the first term add the product of the common difference into the number of terms,... | |
 | John Bonnycastle - 1851 - 314 pages
...PROBLEM III. Theßrst term and the common difference being given, to find the last or any other assigned term, RULE.* Multiply the number of terms less one, by the common difference, and add this product to the first term, when the series is increasing ; or subtract it from the first term,... | |
 | Daniel Leach - Arithmetic - 1851 - 280 pages
...he travel ? 315. To find any required term, when the first term and common difference are known, — RULE. Multiply the number of terms, less one, by the common difference, and add this product to the first term, for the required term. OBS. If the series be descending, the product... | |
 | Benjamin Greenleaf - Algebra - 1852 - 348 pages
...first term, common difference, and number of terms given to find the last term, we have the following RULE. Multiply the number of terms, less one, by the...difference, and to the product add the first term. Again, if we invert the terms, we have (1) (2) (3) (4) (5) (6) (7) 20, 17, 14, 11, 8, 5, 2. Here we... | |
 | John Fair Stoddard - Arithmetic - 1852 - 320 pages
...but two of them, and refer the student to Algebra for the demonstration of the others. CASE i. Given the first term, the common difference, and the number of terms, to find the last term. RULE. To the prodvtt of the common difference into the numbet of terms less one, add the first term. QUESTIONS.... | |
 | Charles Davies - 1852 - 344 pages
...three of these parts are known or given, the remaining ones can be determined. CASE I. 307. Knowing the first term, the common difference, and the number of terms, to find the last term. 1. The first term is 3, the common difference 2, and the number of terms 19 : what is the last term... | |
 | Daniel Leach - Arithmetic - 1853 - 622 pages
...he travel ? 315. To find any required term, when the first term and common difference are known, — RULE. Multiply the number of terms, less one, by the common difference, and add this product to the first term, for the required term. What is the rule for finding the number... | |
 | Benjamin Greenleaf - Algebra - 1854 - 374 pages
...term, common difference, and number of terms given, to find the last term, we have the following RTJLE. Multiply the number of terms, less one, by the common...difference, and to the product add the first term. \ Again, if we invert the terms, we have (1) (2) (3) (4) (5) (6) (7) 20, 17, 14, 11, 8, 5, 2. Here... | |
 | William Somerville Orr - Science - 1854 - 534 pages
...so that calling the last term I, we have l=a + (» — 1)¿. You thus see that the problem— Given the first term, the common difference and the number of terms, to find the last term, is one of very easy solution. I shall therefore proceed to the next, which is thia •— Given the... | |
 | George Roberts Perkins - Arithmetic - 1855 - 388 pages
...by three times the common difference ; and so on, for the succeeding term. Hence, when we have given the first term, the common difference, and the number of terms, to find the last term, we have this RULE. TJ the fast term add the product of the common difference \nto the number of terms,... | |
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Having given the first term, the common difference, and the number of terms, to find the last term. 
