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RULE. Multiply the sum of the two extremes by half the number of terms, or multiply...
An Introduction to Algebra Upon the Inductive Method of Instruction - Σελίδα 233
των Warren Colburn - 1830 - 276 σελίδες
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## 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...

## 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...

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

Warren Colburn - 1837 - 276 σελίδες
...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 in progression...clock strike in 12 hours ? a=l, I = 12, and n = 12. s— 12 (1 + 12) =78. Ans. 78 In the formula I = a + (n — 1) r; substitute d instead of r to represent...

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

Warren Colburn - 1838 - 276 σελίδες
...give the whole sum : thus Hence, the sum of a series of numbers in progression by differ- . .-» ence is one half of the product of the number of terms by the sum of the, first and last terms. y Example. How many strokes does the hammer of a clock strike in 12 hours ? % o=l, I = 12, and n =...