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 Βιβλία Βιβλία Hence, the sum of a series of numbers in progression by difference is one half of the product of the number of terms by the sum of the first and last terms. An Introduction to Algebra Upon the Inductive Method of Instruction - Σελίδα 231
των Warren Colburn - 1831 - 276 σελίδες
Πλήρης προβολή - Σχετικά με αυτό το βιβλίο Charles Davies - 1844 - 340 σελίδες
...sum of extremes the number of terms. n llalt the "umber of terms 1122 sum of series. Ans. 1122. 2. How many strokes does the hammer of a clock strike in 12 hours ? Ans. 78. 3- The first term of a series is 2, the common difference 4, and the number of terms 9,... ## Arithmetic: Designed for Academies and Schools, Uniting the Inductive ...

Charles Davies - 1847 - 360 σελίδες
...OPERATION. 2 1st term 100 last term 102 sum of extremes 1 1 half the number of terms 1122 sum of series. 2. How many strokes does the hammer of a clock strike in 12 hours? Ans. 78. 3. The first term of a series is 2, the common difference 4, and the number of terms 9, what... ## Elementary Algebra: For the Use of Schools

William Smyth - 1851 - 236 σελίδες
...is 5, the last term 62 and the number of terms 20. What is the sum of the series ? ANS. 670. Ex. 2. How many strokes does the hammer of a clock strike in 12 hours ? ANS. 78. Ex. 3. If 100 eggg were placed in a right line, exactly one yard from each other, and the... ## School Arithmetic: Analytical and Practical

Charles Davies - 1852 - 336 σελίδες
...6 ' the number of terms. 1 02 sum of extremes. 11 half the number of terms ^ 1122 sum of series. 2. How many strokes does the hammer of a clock strike in 12 hours? 3. The first term of a series is 2, the common difference 4, F.nd the number of terms 9 : what is the... ## ANDREWS' SERIES OF LATIN SCHOOL BOOKS

CROCKER & BREWSTER - 1854
...Progression by Differences ? IL The sum of all the terms in a Progression by Differences, is equal to half the product of the number of terms by the sum of the first and last terms. Exercises for the Slate or Slack-board. 1. What is the sum of a progression by differences, whose first... ## Arithmetic, Oral and Written: Practically Applied by Means of Suggestive ...

Thomas H. Palmer - 1854 - 348 σελίδες
...Progression by Differences? II. The sum of all the terms in a Progression by Differences, IB equal to half the product of the number of terms by the sum of the first and hist terms. Exercises for the Slate or Slack-board. 1. What is the sum of a progression by differences,... ## The tutor's assistant

Francis Walkingame - 1855
...all the terms. Or thus : - • 1. a, I, n, are given to find S. n S = (a + 1) x — 2 Examples. 1. How many strokes does the hammer of a clock strike in 12 hours ? Here» =1, I = 12, n = 12. 12 + 1 =13 then 13 x 6 = 78, the Ans. 2. A man buys 17 yards of cloth,... ## Walkingame's arithmetic [his Tutor's assistant] simplified and improved. [&c ...

Francis Walkingame - 1859
...; the product will be the sum of all the terms. f, I, n, are given to find s. Thus,/,+/,xя,=s. 1. How many strokes does the hammer of a clock strike in 12 hours? 12+1=13, then 13x6=78 Ans. 2. How many if it struck from 1 to 24 hours ? Ans. 300. 3. In buying 19... ## Practical Arithmetic: Embracing the Science and Applications of Numbers

Charles Davies - 1863 - 336 σελίδες
...half 102, sum of extremes. the number of terms. H, half the number of terms. 1122, sum of series. s 2. How many strokes does the hammer of a clock strike in 12 hours ? 3. The first term of a series is 2, the common difference 4, and the number of terms 9 : what is... ## Walkinghame's [sic] Tutor's assistant; or, Complete arithmetical question ...

Francis Walkingame - 1865
...the product is the total of all the terms : or thus, I. F, L, N, are given to find S. EXAMPLES. (1) How many strokes does the hammer of a clock strike in 12 hours? 12 + 1 = 13, then 13 x 6 = 78. (2) A man bought 17 yards of cloth, and gave for the first yard 2«.,...