 | James Stewart Eaton - 1857 - 376 σελίδες
...number of terms less one. Hence, 34:8. PROB. 3. — The extremes and common difference being given to find the number of terms, RULE. — Divide the...difference of the extremes by the common difference, add 1 to the quotient and the sum will be the number of terms. Ex. 1. The extremes of an arithmetical... | |
 | Benjamin Greenleaf - 1857 - 310 σελίδες
...Problem I. that the number of terms is one more than the number of differences ; therefore 8 -J- 1 = 9, the number of terms. RULE. — Divide the difference of the extremes by the common differen«e, and the quotient increased by one will be the number of terms required. 9. If the extremes... | |
 | Benjamin Greenleaf - 1857 - 452 σελίδες
...by 2, the quotient will be the sum of the series; therefore — i-? x 9 = 99, the answer required. RULE. — Divide the difference of the extremes by the common difference, and to the quotient add 1 ; by this sum multiply half the sum of the extremes, and the product will be... | |
 | Benjamin Greenleaf - 1857 - 336 σελίδες
...of differences ; therefore, 9 -j- 1 = 10 is the number of terms in this series. Hence the following RULE. — Divide the difference of the extremes by the common difference, and the quotient, increased by 1, will be the number of terms required. EXAMPLES FOR PRACTICE. 1. If the... | |
 | Benjamin Greenleaf - 1858 - 472 σελίδες
...must be 1 more than the number of common differences, 8 -\1 = 9 is the number of terms in the series. RULE. — Divide the difference of the extremes by the common difference, and the quotient increased by 1 will be the required number of terms. EXAMPLES. 2. A man going a journey... | |
 | Horatio Nelson Robinson - 1859 - 362 σελίδες
...term, we have left the common difference taken as many times as the number of terms, less 1. Hence, 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... | |
 | Emerson Elbridge White - 1861 - 348 σελίδες
...by the number of terms, less one. (3). The first term, common difference, and last term being given to find the number of terms. RULE. — Divide the...of the extremes by the common difference, and add 1 to the quotient. (4). The first term, number of terms, and last term being given to find the sum... | |
 | Benjamin Greenleaf - 1861 - 338 σελίδες
...of differences; therefore, 9 -f- 1 = 10 is the number of terms in this series. Hence the following RULE. — Divide the difference of the extremes by the common difference, and the quotient. increased by 1, will be the number of termi required. EXAMPLES FOR PRACTICE. 1. If the... | |
 | James Stewart Eaton - 1862 - 320 σελίδες
...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 the quotient, increased by 1, is the number of terms. Ex. 1. The extremes of an arithmetical series... | |
 | W H. Wingate - 1865 - 150 σελίδες
...of the extremes by one less than the number of terms. . 3. The extremes and difference being given, to find the number of terms. Rule. — Divide the...difference of the extremes by the common difference of the series ; to the quotient add one for the answer. 4. The last term, number of terms, and common... | |
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Divide the difference of the extremes by the common difference, and the quotient increased by 1 is the number of terms. 
