| 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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