Higher Arithmetic: Designed for the Use of High Schools, Academies, and Colleges ... with an AppendixD. Appleton and Company, 1849 - 342 σελίδες |
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Σελίδα 211
... PROGRESSION . 81. A SERIES of numbers which succeed each other regularly by a common difference , is said to be in arith- metical progression . When the terms are constantly increasing , the series is an arithmetical progression ...
... PROGRESSION . 81. A SERIES of numbers which succeed each other regularly by a common difference , is said to be in arith- metical progression . When the terms are constantly increasing , the series is an arithmetical progression ...
Σελίδα 214
... progression is 2 , the last term is 50 , and the number of the terms is 17 . What is the sum of all the terms ? In ... metical progression . The price of the first was 8 shillings , and the price of the last was 28 shillings . What did ...
... progression is 2 , the last term is 50 , and the number of the terms is 17 . What is the sum of all the terms ? In ... metical progression . The price of the first was 8 shillings , and the price of the last was 28 shillings . What did ...
Σελίδα 217
... metical progression ; the first day he went 4 miles , and the last day he went 84. How How many miles more did he go on each day , than on the preceding day ? Ans . 5 miles . 3. A man has 7 sons , whose ages are in arithmetical progression ...
... metical progression ; the first day he went 4 miles , and the last day he went 84. How How many miles more did he go on each day , than on the preceding day ? Ans . 5 miles . 3. A man has 7 sons , whose ages are in arithmetical progression ...
Σελίδα 221
... metical progression is 7 , the number of terms 54 , and the sum of all the terms is 10233. What is the first term ? In this example , the sum of the terms , divided by the number of terms , is 1891 ; half the product of the number of ...
... metical progression is 7 , the number of terms 54 , and the sum of all the terms is 10233. What is the first term ? In this example , the sum of the terms , divided by the number of terms , is 1891 ; half the product of the number of ...
Σελίδα 222
... metical progression is 7 , the number of terms is 54 , and the sum of all the terms is 10233. What is the last term ? Ans . 375 . 3. The common difference of the terms of an arith- metical progression is 6 , the number of terms is 14 ...
... metical progression is 7 , the number of terms is 54 , and the sum of all the terms is 10233. What is the last term ? Ans . 375 . 3. The common difference of the terms of an arith- metical progression is 6 , the number of terms is 14 ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
12 days 1st column acres added amount of $1 annexed annuity arith arithmetical progression bushel ciphers common difference compound interest continued fraction cube root decimal figures denoted diameter digits diminished dividend divisible by 9 EXAMPLES feet find the interest find the present following RULE fraction is equivalent gallons geometrical progression given principal gives greatest common measure gression half the number Hence improper fraction inches indorsement interest of $1 last term least common multiple less method metical progression miles mixed number multiplied nearly number is divisible number of dollars number of terms numerator and denominator obtain Operation oxen partial fraction period pounds present worth prime factors quantity quotient rate per cent ratio reciprocal Reduce remainder result right-hand figure Rule under Art second term shillings Solution square root subtract tabular number third term trial divisor true divisor twice the product vulgar fraction whole number worth of $1 yards
Δημοφιλή αποσπάσματα
Σελίδα 194 - Multiply the divisor, thus augmented, by the last figure of the root, and subtract the product from the dividend, and to the remainder bring down the next period for a new dividend.
Σελίδα 39 - Multiply all the numerators together for a new numerator, and all the denominators together for a new denominator.
Σελίδα 311 - That is, the square of the sum of two numbers is equal to the square of the first number, plus twice the product of the two numbers, plus the square of the second number.
Σελίδα 134 - If the payment be less than the interest, the surplus of interest must not be taken to augment the principal; but interest continues on the former principal until the period when the payments, taken together, exceed the interest due...
Σελίδα 17 - ... any number divided by 9 will leave the same remainder as the sum of its digits divided by 9.
Σελίδα 134 - 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. " If the payment exceeds the interest, the surplus goes towards discharging the principal, and the subsequent interest is to be computed on the balance of principal remaining due.
Σελίδα 178 - To raise a whole number or a decimal to any power, use it as a factor as many times as there are units in the exponent.
Σελίδα 249 - His head weighed as much as his tail and half his body, and his body weighed as much as his head and tail together. What was the weight of the fish ? Let 2x = the weight of the body in pounds.
Σελίδα 323 - That is, the cube of the sum of two quantities is equal to the cube of the first, plus three times the square of the first...
Σελίδα 41 - Then multiply each numerator by all the denominators, except its own, for a new numerator, and all the denominators together for a common denominator.