 | Benjamin Greenleaf - Arithmetic - 1876 - 344 pages
...of the extremes, and the product divided by 2, the quotient will be the sum of the terms. Hence the RULE. — Divide the difference of the extremes by the common difference, and to the quotient add 1 ; multiply this sum by the sum of the extremes, and half the product is the sum... | |
 | Horatio Nelson Robinson, Daniel W. Fish - Arithmetic - 1877 - 374 pages
...from any term, we have left the common difference taken as many times t3 the number of terms, less 1. RULE. Divide the difference of the extremes by the...the quotient. EXAMPLES FOR PRACTICE. 1. The extremes are 7 and 43, and the common differenceis 4 ; what is the number of terms ? Ans. 10. 2. The first term... | |
 | Horatio Nelson Robinson, Daniel W. Fish - Arithmetic - 1877 - 372 pages
...taken as many times as the number of terms, less 1. RULE. Divide the difference of the extremes T>y the common difference, and add 1 to the quotient. EXAMPLES FOR PRACTICE. 1. The extremes are 7 and 43, and the common difference is 4 ; what is the number of terms ? Ans. 10. 2. The first... | |
 | Albert Newton Raub - Arithmetic - 1877 - 348 pages
...number of terms when the extremes and the common difference are given, divide the difference between the extremes by the common difference, and add 1 to the quotient. WRITTEN PROBLEMS. 1. The extremes of a series are 7 and 28, and the number of terms 8 : what is the... | |
 | Samuel Mecutchen, George Mornton Sayre - Arithmetic - 1877 - 200 pages
...and adding 1 to the quotient, we obtain 4 an the number of terms. RULE. Divide the difference between the extremes by the common difference, and add 1 to the quotient. %. The extremes are 10 and 100, and the common difference is 10; what is the number of terms? 3. The... | |
 | William Frothingham Bradbury - 1882 - 416 pages
...extremes is the common difference multiplied by one less than the number of terms. Hence, conversely, Rule. Divide the difference of the extremes by the common difference, and add one to the quotient. 94. The extremes of an arithmetical series are 15 and 57, and the common difference... | |
 | William Frothingham Bradbury - Arithmetic - 1879 - 446 pages
...is the common difference multiplied by one less than the number of terms. Hence, conversely, Bnle. Divide the difference of the extremes by the common difference, and add one to the quotient. 94. The extremes of an arithmetical series are 15 and 57, and the common difference... | |
 | James Thomson - 1880 - 408 pages
...Anum, 381. RULE III. The extremes and the common difference being given, to find the number of terms : Divide the difference of the extremes by the common difference, and add a unit to the quotient. The reasons of this rule and of the next will be obvious from comparing them... | |
 | Samuel Mecutchen - Arithmetic - 1880 - 270 pages
...namber of terms, when the extremes and the common difference are given. Divide the difference between the extremes by the common difference, and add 1 to the quotient. To find the sum of the series, when the extremes and the number of terms are given. Multiply the sum... | |
 | Samuel Mecutchen - Arithmetic - 1880 - 262 pages
...number of terms, when the extremes and the common difference are given. Divide the difference between the extremes by the common difference, and add 1 to the quotient. To find the sum of the series, when the extremes and the number of terms are given. Multiply the sum... | |
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RULE. Divide the difference of the extremes by the common difference, and add 1 to the quotient. EXAMPLES. 1. The extremes are 7 and 43, and the common difference is 4 ; what is the number of terms ? Ans. 
