Elementary Algebra: Second Year CourseMacmillan, 1916 |
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Página viii
... of Complex Numbers 154 VIII . SERIES AND LIMITS 158 Arithmetical Series 158 Geometrical Series . 163 Infinite Geometrical Series 170 Theory of Limits 173 SUPPLEMENT The Highest Common Factor by the Method of Division viii TABLE OF CONTents.
... of Complex Numbers 154 VIII . SERIES AND LIMITS 158 Arithmetical Series 158 Geometrical Series . 163 Infinite Geometrical Series 170 Theory of Limits 173 SUPPLEMENT The Highest Common Factor by the Method of Division viii TABLE OF CONTents.
Página 30
... ARITHMETICAL NUMBERS 43. 12 = 1 , 22 = 4 , ... , 92 = 81 , 102 = 100 , 1002 10000 , 10002 1,000,000 . = 902 = 8100 , This is sufficient to show that a perfect square consisting of one or two digits has one digit in the root ; one ...
... ARITHMETICAL NUMBERS 43. 12 = 1 , 22 = 4 , ... , 92 = 81 , 102 = 100 , 1002 10000 , 10002 1,000,000 . = 902 = 8100 , This is sufficient to show that a perfect square consisting of one or two digits has one digit in the root ; one ...
Página 157
... ) = 3+ i5 ; locate 3+ i 5. ] - 11. ( 4 + i ) − ( 2 + i 2 ) . - 12. ( 5 i 2 ) + ( 3 − i 4 ) . - - 13. ( 6 — i 5 ) — ( 6 — i 7 ) . - CHAPTER VIII SERIES AND LIMITS ARITHMETICAL SERIES 167. The numbers EXPONENTS , RADICALS , IMAGINARIES 157.
... ) = 3+ i5 ; locate 3+ i 5. ] - 11. ( 4 + i ) − ( 2 + i 2 ) . - 12. ( 5 i 2 ) + ( 3 − i 4 ) . - - 13. ( 6 — i 5 ) — ( 6 — i 7 ) . - CHAPTER VIII SERIES AND LIMITS ARITHMETICAL SERIES 167. The numbers EXPONENTS , RADICALS , IMAGINARIES 157.
Página 158
... arithmetical series or arithmetical progression . An arithmetical series is a succession of numbers in which each number after the first minus the preceding one always gives the same difference . This difference is called the common ...
... arithmetical series or arithmetical progression . An arithmetical series is a succession of numbers in which each number after the first minus the preceding one always gives the same difference . This difference is called the common ...
Página 159
... arithmetical series . value of the last term evidently depends upon three things ; namely , the value of a , the value of d , and also the number of terms in the series . Denote the number of terms by n . It is to be observed that the ...
... arithmetical series . value of the last term evidently depends upon three things ; namely , the value of a , the value of d , and also the number of terms in the series . Denote the number of terms by n . It is to be observed that the ...
Términos y frases comunes
a²b² a²x² ab² addition and subtraction algebra arithmetical arithmetical means arithmetical series ax² binomial BINOMIAL THEOREM called coefficient commutative law complete divisor completing the square Compute cube root decimal places denominator determinants diameter digits distance Divide both sides dividend division Draw a graph exponent Factor Theorem Find the h. c. f. Find the square Find the sum fixed number formula fraction geometrical series given equation Hence imaginary numbers inches linear equations logarithms mantissa negative numbers nth root number of terms obtain parenthesis polynomial positive numbers principal root quadratic equation quotient radius rational integral expression remainder Simplify solution Solve square root Substitute trial divisor triangle Type form Univ variable weight zero
Pasajes populares
Página 6 - 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. Multiply the whole divisor by the first term of the quotient, and subtract the product from the dividend.
Página 85 - In any proportion, the product of the means is equal to the product of the extremes.
Página 39 - Multiply the numerators together for a new numerator, and the denominators together for a new denominator.
Página 113 - The logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the divisor.
Página 65 - In each succeeding term the coefficient is found by multiplying the coefficient of the preceding term by the exponent of a in that term, and dividing by the number of the preceding term.
Página 5 - Multiply each term of the multiplicand by each term of the multiplier, and add the partial products.
Página 37 - Both terms of a fraction may be divided by the same number without changing the value of the fraction.
Página 89 - Find the area of a circle whose radius is 12 feet, from the law that the area of a circle varies as the square of its radius.
Página 65 - The exponent of b in the second term is 1, and increases by 1 in each succeeding term.
Página 196 - A person engaged to work a days on these conditions : for each day he worked he was to receive b cents, and for each day he was idle he was to forfeit с cents. At the end of a days he received d cents. How many days was he idle ? 76.