| Benjamin Greenleaf - 1857 - 336 σελίδες
...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 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 44, and the... | |
| Daniel Leach - 1857 - 316 σελίδες
...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 : — I — a , , 2s n -— +1... | |
| Benjamin Greenleaf - 1857 - 452 σελίδες
...more than the number of common differences, 8 -|1 = 9 is the number of terms ha the series. KULE. — 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... | |
| Pliny Earle Chase - 1857 - 338 σελίδες
...divided by the common difference, (§ 186, 188,) gives the number of terms, less 1. Therefore, To FIND THE NUMBER OF TERMS, divide the difference of the extremes by the common difference, and add 1 to the quotient, THE SUM OF THE TERMS is found by Case I. 191. EXAMPLES FOR THE PUPIL. For answers... | |
| Charles Guilford Burnham - 1857 - 328 σελίδες
...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... | |
| Charles Guilford Burnham - 1857 - 342 σελίδες
...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... | |
| 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 - 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 44, and the... | |
| 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... | |
| 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 the successive... | |
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