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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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## An Introduction to Algebra Upon the Inductive Method of Instruction

Warren Colburn - 1830 - 276 σελίδες
...the terms are now equal, and one of them being multiplied by the whole number of terms will give the whole sum : thus ' Hence, the sum of a series of numbers...half of the product of the number of terms by the mm of thejirst and last terms. Example. How many strokes does the hammer of a clock strike in 12 hours...

## Daboll's Schoolmaster's Assistant: Improved and Enlarged, Being a Plain ...

Nathan Daboll - 1831 - 240 σελίδες
...; required the sum of the series. 23+3=26 sum of the extremes. Then 26 x 11 -1-2=143 the Answer. 2. How many strokes does the hammer of a clock strike in 12 hours. Ans. 78. 3. A merchant sold 100 yards of cloth, viz. the first yard for 1 ct. the second for 2 cts....

## Conkling's Arithmetic: The Young Arithmetician's Guide to a Knowledge of ...

Thomas Conkling (W.) - 1831 - 275 σελίδες
...come to? Ans. 125i. The first term is 1, and the last, 4/. 1 9s. or 99s. proceed according w rule. 3. How many strokes does the hammer of a clock strike in 12 hours? ADS. 7S As the common difference is 1, the extremes are 1, and 12; for the clock strikes 1, at one...

## Mercantile Arith

Michael Walsh - 1831
...two extremes by the whole number of terms, the product is the total of all the terms. EXAMPLES. 1. How many strokes does the hammer of a clock strike in 12 hours ? 12 -f- 1 = 13 then 13 X 6 = 78. Ans. • 2. A man buys 17 yards of cloth, and gave for the first...

## The Tutor's Assistant: Being a Compendium of Arithmetic and a Complete ...

Francis Walkingame - 1832 - 208 σελίδες
...product is the total o| all the. terms: or thus, IFLN are given to find S. N F+Lx— =8-' 2 EXAMPLES. 1. How many strokes does the hammer of a clock strike in 12 hours? 12+1=13, then 13X6=78. 2. A man buys 17 yards of cloth, and gave for the first yard 2t. and for the...

## The Tutor's Assistant: Being a Compendium of Practical Arithmetic, for the ...

Francis Walkingame - 1833
...Multiply the sum of the extremes by the number of terms, and half the product will be the answer.* (1) How many strokes does the hammer of a clock strike in 12 hours ft (2) A man bought 17 yards of cloth, and gave for the first yard 2i. and for the last 1 Oí. What...

## A system of arithmetic, with the principles of logarithms

...progression are 4 and 200, and the number of terms 20. Required the sum of the terms. Answer, 2040. 3. How many strokes does the hammer of a clock strike in 12 hours ? Answer, 78. 4. In Venice the clocks strike continually on to 24 o'clock ; how many are the strokes...

## The Common School Arithmetic: Prepared for the Use of Academies and Common ...

Charles Davies - 1833 - 270 σελίδες
...term 100 last term 102 sum of extremes 1 1 half the number of terms 1122 sum of series. Ans. 1123. 2. How many strokes does the hammer of a clock strike in 12 hours ? Ans. 7& 13. If 100 eggs were placed in a right line, exactly one yard from each other, and the first,...

## Taplin's improved edition of Walkingame's Tutor's assistant. To which is ...

Francis Walkingame - 1835
...by half the number of terms, and the product will be the total of all the terms. • EXAMPLES. (1) How many strokes does the hammer of a clock strike in 12 hours? Ans. 78. 12 + 1 — 13 the sum of the two extremes. 12-f-2 = 6 half the number of terms. 13 x 6=78...

## A Practical and Theoretical System of Arithmetic: Containing Several New ...

George Willson - 1836 - 192 σελίδες
...half the number of terms ; or, multiply by the whole number of terms, and take half the product. 1 . How many strokes does the hammer of a clock strike in 12 hours ? Half number of terms =6. Extremes 1 + 12=13. 13x6=78. Ans. PROBLEM II. — The first term, the number...