 | Charles Guilford Burnham - 1857 - 328 σελίδες
...When the first and last terms, and the common difference* are given, to find the number of terms — RULE. Divide the difference of the extremes by the common difference, and the quotient will be 1 less than the number of terms. 10. If the first term of a series be 2, and the last term... | |
 | James Stewart Eaton - 1857 - 376 σελίδες
...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 series are 6 and 38 and the common difference is 4 ; what is the number of terms ? 38 — 6 — 32 ; 32 4- 4 =... | |
 | 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 - 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...common difference, and the quotient increased by 1 will be the required number of terms. EXAMPLES. 2. A man going a journey travelled the first day 7... | |
 | Benjamin Greenleaf - 1858 - 332 σελίδες
...therefore, 9 -j- 1 = 10 is the number of terms in this series. Hence the following RULE. — Dicide 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 extremes of a series are 4 and... | |
 | 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... | |
 | Benjamin Greenleaf - 1859 - 334 σελίδες
...of the extremes, and the product divided by 2, the quotient will be the sum of the series. 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... | |
 | James Bates Thomson - 1860 - 440 σελίδες
...common difference ? 605. To find the number of terms, when the extremes and common difference are given. Divide the difference of the extremes by the common difference, and the quotient increased by 1 will be the number of terms. OBS. The truth, of this principle is manifest from the manner in which... | |
 | Benjamin Greenleaf - 1860 - 460 σελίδες
...divided by 2, the quotient will be the sum of the series; therefore 19^"8 X 9 = 99, the answer required. RULE. — Divide the difference of the extremes by the common difference, and to the quotient add I ; by this sum multiply half the sum of the extremes, and the product will be... | |
 | 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...common difference, and the quotient. increased by 1, will be the number of termi required. EXAMPLES FOR PRACTICE. 1. If the extremes of a series are 4 and... | |
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Given the first term, last term, and common difference, to find the number of terms. RULE. — Divide the difference of the extremes by the common difference, and the quotient increased by 1 is the number of terms. 
