Numbers Symbolized: An Elementary AlgebraD. Appleton, 1889 - 364 páginas |
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Página xi
... progression . 274 Concrete examples in arithmetical progression . 276 Geometrical progression - Definitions and principles Examples in geometrical progression . 279 . 280 Concrete examples in geometrical progression Infinite series ...
... progression . 274 Concrete examples in arithmetical progression . 276 Geometrical progression - Definitions and principles Examples in geometrical progression . 279 . 280 Concrete examples in geometrical progression Infinite series ...
Página 251
An Elementary Algebra David Martin Sensenig. CHAPTER VII . RATIO , PROPORTION , AND PROGRESSION . Ratio . 1. Definitions and Principles . 277. A relation of values exists between two similar quantities - that is , one of them is a number ...
An Elementary Algebra David Martin Sensenig. CHAPTER VII . RATIO , PROPORTION , AND PROGRESSION . Ratio . 1. Definitions and Principles . 277. A relation of values exists between two similar quantities - that is , one of them is a number ...
Página 272
... X3 - ах ax + x + 1 ( x = ∞ ) ( x = ∞ ) х X - √x2 -- 17. Lim . x + √x2 - a2 ( x = a ) 18. Lim . x2 + a2x2 + a1 x2 + a x + a2 ( x = a ) Arithmetical Progressions . Definitions and Principles . 335. Any number 272 ELEMENTARY ALGEBRA .
... X3 - ах ax + x + 1 ( x = ∞ ) ( x = ∞ ) х X - √x2 -- 17. Lim . x + √x2 - a2 ( x = a ) 18. Lim . x2 + a2x2 + a1 x2 + a x + a2 ( x = a ) Arithmetical Progressions . Definitions and Principles . 335. Any number 272 ELEMENTARY ALGEBRA .
Página 275
... . 7. Given S 112 , n = 7 , and a 25 , find 7 and d . = 8. Given n = 8 , a = 8 , and d = 5 , find S and 7 . 7 9. Given d = 1 , S = 58 , and a = 2 , find 1 and n . a 2 S 10. Show that d = 11. Show ARITHMETICAL PROGRESSIONS . 275.
... . 7. Given S 112 , n = 7 , and a 25 , find 7 and d . = 8. Given n = 8 , a = 8 , and d = 5 , find S and 7 . 7 9. Given d = 1 , S = 58 , and a = 2 , find 1 and n . a 2 S 10. Show that d = 11. Show ARITHMETICAL PROGRESSIONS . 275.
Página 277
... progression is 30 , and the difference of the squares of the extremes is Required the numbers . 96 . Solution : Let x equal the middle term and y the common differ- ence , then will the numbers be x - 2y , x — y , x , x + y , x + 2y ...
... progression is 30 , and the difference of the squares of the extremes is Required the numbers . 96 . Solution : Let x equal the middle term and y the common differ- ence , then will the numbers be x - 2y , x — y , x , x + y , x + 2y ...
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Numbers Symbolized: An Elementary Algebra David M. (David Martin) Sensenig Sin vista previa disponible - 2012 |
Términos y frases comunes
a b c a+b)² a+b)³ a+b+c a² b² a² b³ a²x² a³ b² a³ b³ acres arithmetical arithmetical progression bushels cent Clear of fractions coefficient complete divisor Complete the square cube root Definitions and Principles denominator difference Divide dividend divisible dollars exponent Extract the square feet Find the numbers Find the value geometrical progression horse Illustration Illustrations.-1 last term miles minuend monomial Multiply negative quantity number of terms polynomial positive quantity quadratic equation quan quantities equals quotient radical ratio Reduce Required the number rods SIGHT EXERCISE Solution Solve square root Subtract surd tity Transpose trial divisor trinomial twice unknown quantities x² y¹ x² y² x² y³ x³ y² x³ y³
Pasajes populares
Página 40 - AXIOM is a self-evident truth ; such as, — 1. Things which are equal to the same thing, are equal to each other. 2. If equals be added to equals, the sums will be equal. 3. If equals be taken from equals, the remainders will be equal. 4. If equals be added to unequals, the sums will be unequal. 5. If equals be taken from unequals, the remainders will be unequal. 6. Things which are double of the same thing, or of equal things, are equal to each other.
Página 160 - ... term is found by multiplying the coefficient of the preceding term by the exponent of the leading letter of the same term, and dividing the product by the number which marks its place.
Página 74 - Divide the first term of the dividend by the first term of the divisor, and write the result as the first term of the quotient.
Página 278 - ... that is, Any term of a geometric series is equal to the product of the first term, by the ratio raised to a power, whose exponent is one less than the number of terms.
Página 174 - At the left of the dividend write three times the square of the root already found, for a trial divisor ; divide the first term of the dividend by this divisor, and write the quotient for the next term of the root.
Página 260 - In a series of equal ratios, the sum of the antecedents is to the sum of the consequents as any antecedent is to its consequent.
Página 169 - Tlie result will be the complete divisor. Multiply the complete divisor by the last term of the root found, and subtract this product from the dividend.
Página 153 - A and B can do a piece of work in 4 days, A and C in 6 days...
Página 271 - ... the sum of the terms. The first term and last term are called the extremes, and all the terms between the extremes are called arithmetical means.
Página 300 - The product of two binomials having a common term equals the square of the common term, plus the algebraic sum of the other two terms into the common term, and the product of the unlike terms.