| Thomas Peacock - Arithmetic - 1791 - 302 pages
...How many children had he ? Anf. 20 childrer. PROBLE M. IV. • One extreme, the common difference, and the number of terms being given, to find the other extreme. RULE. . Subtract one from the number of terms, and multiply the common difference by the remainder.... | |
| Ira Wanzer - Arithmetic - 1831 - 408 pages
...amount of $1 for 1 year; and hence, the answer is LO6i X20=l ,26247696x20=$25.2495392 * PROBLEM III. — One of the extremes, the ratio, and the number of terms being given, to find the sum of the series. RULE. — Find the other extreme, by Problem II., and then find the sum of the series... | |
| Francis Walkingame - 1833 - 204 pages
...taken = the reciprocal of the fraction. Thus, when the ratio is J, r = |. Case 1. The less extreme, the ratio, and the number of terms, being given, to find the greater extreme (or any remote term) without producing all the intermediale terms. RULE. 1. When the... | |
| Richard Frederick Clarke (the elder.) - 1833 - 158 pages
...225. 8. Find two geometrical means between 15 and 5145. AND PROGRESSION. PROBLEM 3d. The first term, the ratio, and the number of terms being given, to find the last or any other term. ExampleIf the first term be 2, the ratio 2, and the number of terms 19, what... | |
| Arithmetic - 1838 - 218 pages
...term. 3. -The number of terms. 4. The ratio. 5. The sum of all the terms I CASE 1. The first term, the ratio, and the number of terms being given, to find the last term. RULE. — Raise the -ratio to a power, whose index is me less than the number of terms ;... | |
| Pliny Earle Chase - 1844 - 258 pages
...common difference. 5. The sum of all the terms. PROBLEM I. One of the extremes, the common difference, and the number of terms being given, to find the other extreme and the sum of all the terms. What is the tenth term of an ascending series, the first term being 1... | |
| James S. Russell - Arithmetic - 1847 - 340 pages
...term in the series 27, 9, 3, &c. ? 4O1. PROBLEM IV. To FIND THE SUM or THE SERIES. Either extreme, the ratio, and the number of terms, being given, TO FIND THE SUM OF THE SERIES ; find the other extreme by problem II. , then multiply the last extreme by the ratio,... | |
| Daniel Adams - Arithmetic - 1848 - 324 pages
...is the number added or subtracted at one lime. IT '-31C. One of the extremes, the common difference, and the number of terms being given, to find the other extreme. 1. A man bought 100 yards of cloth, giving 4 cents for the first yard, 7 cents for the second, 10 cents... | |
| Daniel Adams - Arithmetic - 1848 - 342 pages
...is the number added or subtracted at ono lime. IT 216. One of the extremes, the common difference, and the number of terms being given, to find the other extreme. 1. A man bought 100 yards of cloth, giving 4 cents for the first yard, 7 cents for the second, 10 cents... | |
| Daniel Adams - Arithmetic - 1848 - 330 pages
...the number added o: subtracted at one time. » IT S»1O. One of the extremes, the common difference, and the number of terms being given, to find the other extreme. 1. A man bought 100 yards of cloth, giving 4 cents for the first yard, 7 cents for the second, 10 cents... | |
| |