 | 1847 - 292 σελίδες
...the first term, the last term, and the common difference, tojind the number of terms. RULE. — 0) Divide the difference of the extremes by the common difference, and the quotient increased by one is the number of terms required. Question. — 1. The first and last terms, and common difference... | |
 | James Bates Thomson - 1848 - 434 σελίδες
...common difference ? GO5. 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... | |
 | Pliny Earle Chase - 1848 - 244 σελίδες
...5, gives 7, which must be equal to the number of terms less 1. Therefore the number of terms is 8. RULE. Divide the difference of the extremes by the common difference, and add 1 to the quotient. 13. What is the sum of the series 2, 4, 6, 8, &c., to 1000? 14. What is the... | |
 | Nathan Daboll, David Austin Daboll - 1849 - 260 σελίδες
...and the number of terms 140.) CASE IV. The first term, last term and common difference given, to Jind the number of terms. RULE. Divide the difference of...common difference, and the quotient increased by 1, will be the number of terms. EXAMPLES. 1 . A man bought cloth in arithmetical progression, giving 5... | |
 | Benjamin Greenleaf - 1849 - 336 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 add 1 to the quotient ; multiply this sum by the sum of the extremes, and half the product is the sum... | |
 | George Roberts Perkins - 1849 - 344 σελίδες
...the first term, the last term, and the common difference, to find the number of terms, we have this RULE. Divide the difference of the extremes by the common difference, and to the quotient add one. EXAMPLES. 1. The first term of an arithmetical progression is 5, the last... | |
 | Charles Guilford Burnham - 1850 - 350 σελίδες
...purchased. Therefore — Art. 239. — When the first and last terms, and the common difference are given, to find the number of terms — RULE. Divide...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... | |
 | Roswell Chamberlain Smith - 1850 - 314 σελίδες
...12. 31. Hence, when the extremes and common difference are given, to find the number of terms : — Divide the difference of the extremes by the common difference, and the quotient, increasedby 1, will be the answer. 32. If the extremes be 3 and 45, and the common difference 6, what... | |
 | Benjamin Greenleaf - 1850 - 368 σελίδες
...the sum of the extremes, and the product divided by 2, the quotient would be the sum of the series. RULE. — Divide the difference of the extremes by the common difference, and add 1 to the quotient; multiply this quotient by the sum of the extremes, and half the product is the... | |
 | George Roberts Perkins - 1850 - 356 σελίδες
...the first term, the last term, and the common difference, to find the number of terms, we have this RULE. Divide the difference of the extremes by the common difference, and to the quotient add one. EXAMPLES. 1. The first term of an arithmetical progression is 5, the last... | |
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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. 
