 | 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... | |
 | John Bonnycastle - 1851 - 314 σελίδες
...Daily increase, 5 miles. PROBLEM II. The two extremes, and the common difference being given, to find the number of terms. RULE. Divide the difference of...extremes by the common difference, and the quotient, increased by 1, will be the number of terms required.* that the total increase, divided by the number... | |
 | Charles Haynes Haswell - 1851 - 346 σελίδες
...strike in 12 hours 1 12X(13~-2)~78 J3ns. When the Common Difference and the Extremes are given, to find the Number of Terms. RULE.— Divide the difference of the extremes by the common difference, and add one to the quotienL EXAMPLE. — A man travelled 3 miles the first day, 5 the second, 7 the third,... | |
 | Daniel Leach - 1851 - 280 σελίδες
...the basket? 314. To find the number of terms, when the extremes and common difference are known, — RULE. Divide the difference of the extremes by the common difference, and the quotient, increased by 1, ivill be the number of terms. This rule may be represented by the formulas, thus: —... | |
 | Benjamin Greenleaf - 1851 - 332 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... | |
 | Benjamin Greenleaf - 1852 - 380 σελίδες
...that the number of terms is, one more than the number of differences ; therefore 8 -j- 1 — 9, tVie number of terms. RULE. — Divide the difference of...extremes by the common difference, and the quotient increased by one will be the number of terms required. 9. If the extremes are 3 and 45, and the common... | |
 | Daniel Leach - 1853 - 622 σελίδες
...the basket? 314. To find the number of terms, when the extremes and common difference are known, — RULE. Divide the difference of the extremes by the common difference, and the quotient, increased by 1, will be the number of terms. This rule may be represented by the formulas, thus : —... | |
 | James Bates Thomson - 1855 - 436 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... | |
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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. 
