nydus/The First Steps in AlgebraPublic

This textbook introduces the fundamental concepts of algebra, including definitions of units, quantities, and number symbols. It explains the use of letters to represent numbers and outlines the signs for basic mathematical operations.

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Table of Contents

XIV.

$\frac{1}{2}$ , $\frac{1}{3}$ , $\frac{2}{9}$ , $\dots$ to $4$ terms.

If a blacksmith uses seven nails in putting a shoe on a horse's foot, and receives $1$ cent for the first nail, $2$ cents for the second nail, and so on, what does he receive for putting on the shoe?

If a boy receives $2$ cents for his first day's work, $4$ cents for his second day, $8$ cents for the third day, and so on for $12$ days, what will his wages amount to?

If the population of a city is $10, 000$ , and increases $10$ % a year for four years, what will be its population at the end of the four years? (Here $l = a r^{4}$ .)

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