The North American Arithmetic: part thirdJenks and Palmer, 1840 |
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Σελίδα 188
... CONTINUAL XXXIII . PROPORTIONALS . The numbers of a series in which the successive terms increase by a common multiplier , or decrease by a com non divisor , are CONTINUAL PROPORTIONALS . This series of numbers has been commonly called ...
... CONTINUAL XXXIII . PROPORTIONALS . The numbers of a series in which the successive terms increase by a common multiplier , or decrease by a com non divisor , are CONTINUAL PROPORTIONALS . This series of numbers has been commonly called ...
Σελίδα 189
... Continual Proportionals . The common multiplier , or common divisor , by which the successive terms are increased or deminished , is called the ratio of the series , or the common ratio . 1 2 3 4 5 6 Thus , 3 , 6 , 12 , 24 , 48 , 96 is ...
... Continual Proportionals . The common multiplier , or common divisor , by which the successive terms are increased or deminished , is called the ratio of the series , or the common ratio . 1 2 3 4 5 6 Thus , 3 , 6 , 12 , 24 , 48 , 96 is ...
Σελίδα 190
... continual proportionals may be found by multiplying the first term by that power of the ratio , which is denoted by the number of terms preceding the required one . For instance , the ninth term in an increasing series is found by ...
... continual proportionals may be found by multiplying the first term by that power of the ratio , which is denoted by the number of terms preceding the required one . For instance , the ninth term in an increasing series is found by ...
Σελίδα 191
... continual proportionals , is to find the sum of the I series . We shall , therefore , illustrate the method . ' Let there be given the following series , consisting of seven terms , whose common ratio is 3 ; viz . 2 , 6 , 18 , 54 ...
... continual proportionals , is to find the sum of the I series . We shall , therefore , illustrate the method . ' Let there be given the following series , consisting of seven terms , whose common ratio is 3 ; viz . 2 , 6 , 18 , 54 ...
Σελίδα 192
... continual proportionals are 3 and 12288 , and the ratio is 4 . of the series ? 8. The first term in a series of continual proportionals in 12500 , the last erm is 4 , and the ratio 5 . the sum of the series ? What is 9. The first term ...
... continual proportionals are 3 and 12288 , and the ratio is 4 . of the series ? 8. The first term in a series of continual proportionals in 12500 , the last erm is 4 , and the ratio 5 . the sum of the series ? What is 9. The first term ...
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75 cents acres annuity annum avoirdupois bajocchi Bill bushels called carats cask ciphers compound interest contain continual proportionals cost cube root cubic inches denominator diameter discount divided dividend divisor dollars 25 dollars 50 cents dry measure Ducat equal example exchange expressed Extract the square factors Federal money feet long figure Find a mean Flemish florin foot francs frustrum gallons given number Hamburgh hogshead hundred improper fraction least common multiple length London maravedis mean proportional measure merchant miles minuend mixed number multiplied number of terms number of things ounces paid payable payment pence pezza piastre places pounds present worth quantity quotient ratio received Reduce remainder repetend rix dollar rods RULE rupee scudo series of continual shillings sold Spanish dollars square root sterling Subtract Suppose third power United vulgar fraction weight whole number wide wine yards of cloth
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Σελίδα 7 - ... 11 eleven 12 twelve 13 thirteen 14 fourteen 15 fifteen 16 sixteen 17 seventeen 18 eighteen 19 nineteen 20 twenty 21 twenty-one...
Σελίδα 7 - Cardinal numbers: 1 one 2 two 3 three 4 four 5 five 6 six 7 seven 8 eight 9 nine 10 ten 11 eleven 12 twelve 13 thirteen 14 fourteen 15 fifteen 16 sixteen 17 seventeen 18 eighteen 19 nineteen 20...
Σελίδα 39 - RULE. Multiply all the numerators together for a new numerator, and all the denominators for a new denominator: then reduce the new fraction to its lowest terms.
Σελίδα 38 - To reduce a mixed number to an improper fraction, — RULE : Multiply the whole number by the denominator of the fraction, to the product add the numerator, and write the result over the denominator.
Σελίδα 182 - The numbers which form the series are called the terms of the series. The first and last terms are the extremes, and the other terms are called the means. There are five things in arithmetical progression, any three of which being given, the other two may be found : — 1st.
Σελίδα 27 - 10 pounds, Avoirdupois weight, of distilled water, weighed in air, at the temperature of 62° of Fahrenheit's thermometer, the barometer standing at 30 inches.
Σελίδα 104 - The rule for casting interest, when partial payments have been made, is to apply the payment, in the first place, to the discharge of the interest then due.
Σελίδα 176 - ... and to the remainder bring down the next period for a dividend. 3. Place the double of the root already found, on the left hand of the dividend for a divisor. 4. Seek how often the divisor is contained in the dividend...
Σελίδα 153 - Division being the reverse of multiplication, it is evident, that if we subtract the exponent of the divisor from the exponent of the dividend, the remainder is the exponent of the quotient.
Σελίδα 275 - What fraction is that, to which if f of | be added, the sum will be 1 ? 51. A certain cubical stone contains 389017 solid feet. What are the superficial contents of one side ? 52. A father dying left his son a fortune, \ of which he spent in 8 months; f of the remainder lasted him 12 months longer; after which he had only 1200 dollars left. How much did his father leave to him ? 53. Three travellers met at an inn, and two of them brought...