 | Charles Hutton - Mathematics - 1812 - 620 pages
...whirh must be double the sum of the single series, and is equal to the sum of the extremes repeated as often as are the number of the terms. From these theorems...three of them are given ; as in the following problems : . PROBLEM I. Given the Extremes, and the Number of Terms ; to find t/ir Sum qf all the Terms: ADD... | |
 | Charles Hutton - Arithmetic - 1818 - 646 pages
...which must be double the sum of the single series, and is equal to the sum of the extremes repeated as often as are the number of the terms. From these theorems...number of terms, the common difference, and the sum of nil the terms, when any three of them are given ; as in the following problems : PROBLEM 1. Given the... | |
 | Charles Hutton - Mathematics - 1822 - 616 pages
...which must be double the sum of the single series, and is equal to the sum of the extremes repeated as often as are the ,number of the terms. From these...three of them are given ; as in the following problems : PROBLEM. I. Given the extremes, and the Number of Term; tojlnd the Sum of all the Terms. ADD the... | |
 | Thomas Tucker Smiley - Arithmetic - 1825 - 224 pages
...five things to be particularly attended to in Arithmetical Progression, the first term, the last term, the number of terms, the common difference, and the sum of all the terms. / Case 1. The first term, common difference, and number of terms being given to find the last term... | |
 | Zadock Thompson - Arithmetic - 1826 - 176 pages
...five following things be given, the other two are readily found, viz.. the first term, the last term, the number of terms, the common difference, and the sum of all the terms. Problem I. The first term, the last term, and the number of terms given, to find the sum of all the... | |
 | Thomas Tucker Smiley - 1830 - 188 pages
...things to be particularly attended to in Arithmetical Progression; the 'first term, the last term, the number of terms, the common difference, and the sum of all the terms. . Case 1. The first term, common difference, and number of terms, being given, to find the last term,... | |
 | Thomas Conkling (W.) - Arithmetic - 1831 - 302 pages
...the extremes. In arithmetical progression, there are five parts, viz. the first term, the last term, the number of terms, the common difference, and the sum of all terms; any three of which being given, the other two may be found. Case 1st. When the first term, the... | |
 | Richard Frederick Clarke (the elder.) - 1833 - 158 pages
...was £28, increasing each payment £5 : required the first sum paid. Answer, £3. PROBLEM 5th. — The number of terms, the common difference, and the sum of all the terms being given, to find the last term. AND PROGRESSION. Example. In a series of numbers in arithmetical... | |
 | John M'Nevin - Arithmetic - 1841 - 300 pages
...five things to be particularly attended to in Arithmetical Progression; the first term, the last term, the number of terms, the common difference, and the sum of all the terms. <CASE I. The first term, common difference, and number of terms being given to find the last term,... | |
 | John M'Nevin - Arithmetic - 1841 - 300 pages
...five things to be particularly attended to in Arithmetical Progression; the first term, the last term, the number of terms, the common difference, and the sum of all the terms. CASE I. The first term, common difference, and number of terms being given to find the last term, and... | |
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From these theorems may readily be found any one of these five parts ; the two extremes, the number of terms, the common difference, and the sum of all the terms, when any three of them are given, as in the following Problems : PROBLEM I. 
