 | Nicolas Pike - Arithmetic - 1832 - 544 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... | |
 | William Ruger - Arithmetic - 1832 - 282 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,... | |
 | Zadock Thompson - Arithmetic - 1832 - 186 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 - 182 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 - 204 pages
...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 - Arithmetic - 1833 - 268 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 - 296 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 - 336 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 - 300 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 - 264 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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PROBLEM II. The first term, the last term, and the number of terms given, to find the common difference. RULE. — Divide the difference of the extremes by the number of terms less 1 , and the quotient will be the common diffcrenct. 
