 | Benjamin Greenleaf - 1858 - 472 σελίδες
...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 travelled the first day 7 miles, the last... | |
 | Benjamin Greenleaf - 1859 - 334 σελίδες
...differences ; therefore, 9 -)- 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 I, will be the number of terms required. EXAMPLES FOR PRACTICE. 1. If the extremes of a series are... | |
 | Horatio Nelson Robinson - 1859 - 352 σελίδες
...and we have the series, and consequently the means. Ans. 3, 3£, 4, 4£, 5, 5£, &c. CASE III. 44O. To find the number of terms when the extremes and common difference are given. Examining the series, 2, 5, 8, 11, 14, analyzed in 438, we also see that after taking away the first... | |
 | James Bates Thomson - 1860 - 440 σελίδες
...5. If the extremes are 3 and 300, and the number of terms 10, what is the common difference ? 605. To find the number of terms, when the extremes and...the successive terms of a series are formed. (Art. 600.) 6. If the extremes are 6 and 470, and the common difference is 8, what is the number of terms... | |
 | James Bates Thomson - 1860 - 402 σελίδες
...of terms 9 : what is the com. dif. and the sum of the series? 416t To find the number of terms, wheu the extremes and common difference are given. Divide...quotient increased by 1 will be the number of terms. 6. If the extremes are 2 and 53, and the common difference 3, what is the number of terms ? Ans. 18.... | |
 | Benjamin Greenleaf - 1861 - 338 σελίδες
...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...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 44, and the common... | |
 | Daniel Leach, William Draper Swan - 1861 - 344 σελίδες
...the extremes and common difference are known, — RULE. Divide the difference of the extremes by tht common difference, and the quotient, increased by 1. will be the number of terms. This rule may be represented by the formulas, thus : — I — a , 2 s n =2 -I- 1 n = da + I EXAMPLES.... | |
 | James Bates Thomson - 1862 - 428 σελίδες
...5. If the extremes are 3 and 300, and the number of terms 10, what is the common difference ? 605. To find the number of terms, when the extremes and...difference of the extremes by the common difference, and ike quotient increased by I will be the number of terms. OBS. The truth of this principle is manifest... | |
 | James Stewart Eaton - 1862 - 320 σελίδες
...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 are 3 and 31 and the common difference... | |
 | James Bates Thomson - 1864 - 392 σελίδες
...19, the number of terms 9 : what is the com. dif. and the sum of the series? 416. To find the numbsr of terms, when the extremes and common difference...quotient increased by 1 will be the number of terms. 6. If the extremes are 2 and 53, and the common difference 8, what is the number of terms ? Ann. 18.... | |
| |
Divide the difference of the extremes by the common difference, and the quotient increased by 1 will be the number of terms. 
