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" 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
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Arithmetic Designed for Academies and Schools: With Answers

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«.,...




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