 | John Bonnycastle - 1851 - 314 pages
...augmented. Ans. Daily increase, 5 miles. PROBLEM II. The two extremes, and the common difference being given, to find the number of terms. RULE. Divide the...quotient, increased by 1, will be the number of terms required.* that the total increase, divided by the number of additions, must give the difference of... | |
 | Daniel Leach - Arithmetic - 1851 - 280 pages
...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: — I — a 2s n... | |
 | Benjamin Greenleaf - 1851 - 332 pages
...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 - Arithmetic - 1852 - 380 pages
...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...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 difference... | |
 | Roswell Chamberlain Smith - Arithmetic - 1852 - 316 pages
...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, increased by I, will be the answer. 32. If the extremes be 3 and 45, and the common difference 6 what is the number... | |
 | Daniel Leach - Arithmetic - 1853 - 622 pages
...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...quotient, increased by 1, will be the number of terms. This rule may be represented by the formulas, thus : — I — a , , 2s n = f- 1 n — da -(- I EXAMPLES.... | |
 | James Bates Thomson - Arithmetic - 1855 - 436 pages
...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...quotient increased by 1 -will be the number of terms. OBS. The truth of this principle is manifest from the manner in which the successive terms of a series... | |
 | Roswell Chamberlain Smith - Arithmetic - 1856 - 334 pages
...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, increased by 1, will be the answer. 32. If the extremes be 3 and 45, and the common difference 6. what is the number of terms ?... | |
 | Benjamin Greenleaf - Arithmetic - 1857 - 336 pages
...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...quotient, increased by 1, will be the number of terms required. EXAMPLES FOR PRACTICE. 1. If the extremes of a series are 4 and 44, and the common difference... | |
 | Daniel Leach - 1857 - 314 pages
...0 / ir"l) 314. To find the number of terms, when the extremes and common difference are known, — RULE. Divide the difference of the extremes by the...quotient, increased by 1, will be the number of terms. This rule may be represented by the formulas, thus : — ' — aii -7 2s n •— -{- 1 . /-• n =... | |
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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. 
