 | James Stewart Eaton - 1866 - 328 σελίδες
...extremes 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... | |
 | Whitman Peck - 1868 - 304 σελίδες
...— ;T=T-~ Art. 203, — To find the number of terms, the extremes and common difference being given. Divide the difference of the extremes by the common difference, and add one to the quotient. I — a or a — I n= -d + 1 Art, 204, — To find the sum of the series, the extremes and number of... | |
 | John Fair Stoddard - 1868 - 428 σελίδες
...differencef to find tlie number of terms. ANALYSIS. — Since, a + (n — l)c=l. n= — +1. Hence, the c Rule. — Divide the difference of the extremes by the common difference, and increase the quotient by 1. 1. The first term is 8, the last term 203, and the common difference 5... | |
 | Henry Bartlett Maglathlin - 1869 - 332 σελίδες
...the difference of the extremes by the number of terms less one. Also, to find the number of terms, Divide the difference of the extremes by the common difference, and add one to the quotient. Exercises. 1. The extremes of an arithmetical series are 5 and 27^, and the number of terms 11 ; what... | |
 | Robert Stewart (of Dundee.) - 1871 - 248 σελίδες
...is the common difference of their ages? CASE III. When the extremes and common difference are given, to find the number of terms. RULE.— Divide the difference...of the extremes by the common difference, and add 1 to the quotient for the number of terms. 8. If the extremes of an arithmetical series be 4 and 24,... | |
 | Benjamin Greenleaf - 1871 - 350 σελίδες
...the number of differences ; therefore 9 -)- 1 = 10 is the number of terms in this series. Hence the RULE. — Divide the difference of the extremes by the common difference, and the quotient, increased by 1, will be the number, of terms. EXAMPLES FOR PRACTICE. 1. If the extremes... | |
 | Henry Bartlett Maglathlin - 1873 - 362 σελίδες
...the difference of the extremes by the number of terms less one. Also, to find the number of terms, Divide the difference of the extremes by the common difference, and add one to the quotient. Exercises • 1. The extremes of an arithmetical series are 5 and 27£, and the number of terms 11... | |
 | Joseph Ray - 1856 - 400 σελίδες
...39. Ant. 3j ART. 413. 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 add 1 to the quotient. 1. What is the number of terms in a series whose extremes are QL and 42, and common... | |
 | Philotus Dean - 1874 - 472 σελίδες
...— 1) d, it is plain that (I — a) ч- = n — 1, and that ((I — a) ч- d) + 1 — n. Hence the Rule. — Divide the difference of the extremes by the common difference, and add 1 to the quotient. EXAMPLES FOR PRACTICE. 1. The extremes are 2 and 30, and the common difference f... | |
 | Daniel W. Fish - 1874 - 302 σελίδες
...and the common difference 2 ; what is the number of terms ? RULE. — Divide the difference between the extremes by the common difference, and add one to the quotient. I — a ., FORMULA. — n = —^ — h 13. The extremes are 5 and 75, and the common difference is... | |
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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. 
