| William Ruger - Arithmetic - 1832 - 263 pages
...difference of the hammer of a clock's striking. CASE III. — The extremes and number of terms being **.given, to find the common difference. RULE — Divide...1, and the quotient will be the common difference.** EXAMPLES. 1. A merchant sold 200 yards of cloth ; for the first yard he received 4 cents, for the last,... | |
| Nicolas Pike - Mathematics - 1832 - 528 pages
...5. The sum of all the terms. PROBLEM I. The first term, the last term, and the number of terms being **given, to find the common difference. RULE* Divide...1, and the quotient will be the common difference** sought. EXAMPLES. 1st. The extremes are 3 and 39, and the number of terms is 19 : What is the common... | |
| Zadock Thompson - Arithmetic - 1832 - 168 pages
...the common difference. Hence, II. The first term, the last term, and the number of term* given to fmd **the common difference. RULE. — Divide the difference...1, and the quotient will be the common difference.** 2. If the first term of a series be 8, the last 108, and the number of terms 21, what is the common... | |
| Zadock Thompson - Arithmetic - 1832 - 168 pages
...common difference. Hence, II. The first term, the last term, and the number of terms given to find ike **common difference. RULE. — Divide the difference of the extremes by the number** «f terms, less 1, and the quotient will he the common difference. 2. If the first term of a series... | |
| Francis Walkingame - 1833
...egg to put it into the basket ? Ans. 5 miles, 1 300 yards. Case 2. The same three terms giren, tojind **the common difference. RULE. Divide the difference...number of terms less 1 ; and the quotient will be the** answer. (4) A man had eight sons, whose ages were in arithmetical progression ; the youngest being... | |
| Daniel Adams - Mathematics - 1833 - 264 pages
...difference. ' Hence, when the extremes and number of terms are given, • to find the common difference, — **Divide the difference of the extremes by the number...and the quotient will be the common difference. 6.** If the extremes be 5 and 605, and the number of terms 151, what is the common difference ? Ans. 4.... | |
| Catharine Esther Beecher - Arithmetic - 1833 - 283 pages
...difference. Hence, when the extremes and number of terms are given, to find the common difference, **Divide the difference of the extremes, by the number of terms less 1.** 2. Extremes 3 and 19 ; number of terms 9. Required the common difference. A. 2. 3. Extremes 4 and 56... | |
| George Alfred - Arithmetic - 1834 - 312 pages
...the two extremes and the number of terms are given, to find the common difference of all the terms. **RULE. Divide the difference of the extremes by the...1, and the quotient will be the common difference** of all the terms. / , m . EXAMPLES. ' .:•• " ' : . 1. A certain debt is to be discharged in a year... | |
| Frederick Emerson - Arithmetic - 1834 - 288 pages
...find the common difference. RULE. Subtract the less extreme from the greater, and divide the remainder **by the number of terms less 1 , and the quotient will be the common difference.** It has been shown under Theorem 3d. that the difference of the extremes is found by multiplying the... | |
| James L. Connolly (mathematician.) - Arithmetic - 1835 - 250 pages
...cts. for the last yard. What did the whole come to ? Ans. 72 dollars 20 cents, * The first term, the **last term, and the number of terms, given to find...difference of the extremes by the number of terms less** one, and the quotient will be the common difference, or fourth term. Or, from the second term subtract... | |
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