Conkling's Arithmetic: The Young Arithmetician's Guide to a Knowledge of Numbers; Being an Easy Practical System of Arithmetic, Explained and Brought Down to the Capacity of the Learner; Adapted to the Currency of the United States |
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Results 1-5 of 15
Page 254
... ratio * is 2 . Again , 81 , 27 , 9 , 3 , here the common divisor , or ratio is 3 ; the first mentioned is called an ascending , and the last , a descend- ing series . In any series of numbers in geometrical progres sion , the product of ...
... ratio * is 2 . Again , 81 , 27 , 9 , 3 , here the common divisor , or ratio is 3 ; the first mentioned is called an ascending , and the last , a descend- ing series . In any series of numbers in geometrical progres sion , the product of ...
Page 255
... ratio , and the sum of all the terms ; any three of them being known , the rest may be found , CASE I. When the first term and ratio , are given , to find any other term assigned . RULE . Raise the ratio to a power one less than that ...
... ratio , and the sum of all the terms ; any three of them being known , the rest may be found , CASE I. When the first term and ratio , are given , to find any other term assigned . RULE . Raise the ratio to a power one less than that ...
Page 256
... ratio 5 ; what will be the 18th , or last man's share ? Ans . 1525878906250 Raise the ratio to the 17th power , then CASE II . by the 1st term . When the first term , ratio , and number of terms are given , to find the sum of all the ...
... ratio 5 ; what will be the 18th , or last man's share ? Ans . 1525878906250 Raise the ratio to the 17th power , then CASE II . by the 1st term . When the first term , ratio , and number of terms are given , to find the sum of all the ...
Page 257
... Ratio . 1st power . 2d power . ∞3d power . 4th power . 5th power , 26th power . 64 64 250 384 4096 12th power 64 6th power 16384 24576 262144 18th power 1 262143 1 first term Ratio 2-1-1 ) 262143 2621.43 D. cts . According to rule , I ...
... Ratio . 1st power . 2d power . ∞3d power . 4th power . 5th power , 26th power . 64 64 250 384 4096 12th power 64 6th power 16384 24576 262144 18th power 1 262143 1 first term Ratio 2-1-1 ) 262143 2621.43 D. cts . According to rule , I ...
Page 258
... ratio ; commence thus , 3 , 9 , 27 , 81 , the last is the 4th power ; the 4th × 4th will give the 8th ; the 8th X the 4th , will give the 12th ; the rule says , subtract 1 ; multiply by the 1st term , which is 3 ; and , lastly , divide ...
... ratio ; commence thus , 3 , 9 , 27 , 81 , the last is the 4th power ; the 4th × 4th will give the 8th ; the 8th X the 4th , will give the 12th ; the rule says , subtract 1 ; multiply by the 1st term , which is 3 ; and , lastly , divide ...
Common terms and phrases
2qrs 3d term 3qrs according to rule acres added amount annex annum answer barrel bring brought bushels ciphers Compound contained cost cube root currency denomination difference dividend divisor dollars dolls drams EXAMPLE FOR ILLUSTRATION farthings Federal money feet figure Find the interest Find the number furlongs gain gallons given number given sum grains half pence hogsheads hundred improper fraction inches last product last quotient learner less lowest terms miles mills months multi multiplicand Multiply the given muslin neat weight number of terms ounces payment pecks pence penny pennyweights pints placed the numbers poles pounds present worth principal proceed proper quantity quarters quarts question quotient rate per cent ratio remainder roods Rule of Three saying second term sell shillings square root subtract sugar Suppose tare third term thousand tion VULGAR FRACTIONS whole number yards
Popular passages
Page 193 - 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.
Page 194 - To reduce a mixed number to an improper fraction, Multiply the whole number by the denominator of the fraction, and to the product add the numerator; under this sum write the denominator.
Page 46 - OF TIME. 60 Seconds = 1 Minute 60 Minutes =± 1 Hour 24 Hours = 1 Day 7 Days = 1 Week 28 Days = 1 Lunar Month...
Page 109 - Then multiply the second and third terms together, and divide the product by the first term: the quotient will be the fourth term, or answer.
Page 273 - COMPUTE the interest on the principal sum, from the time when the interest commenced to the first time when a payment was made, which exceeds either alone or in conjunction with the preceding payments (if any) the interest at that time due: add that interest to the principal, and from the sum subtract the payment made at that time, together with the preceding payments (if any) and the remainder forms a new principal ; on which, compute and subtract the interest, as upon the first principal: and proceed...
Page 273 - Compute the interest on the principal sum, from the time when the interest commenced, to the first time when a payment was made, which exceeds, either alone, or in conjunction with the preceding payments, if any, the interest at that time due ; add that interest to the principal, and from the sum subtract the payment made at that time, together with the preceding payments, if any, and the remainder forms a new principal; on which compute...
Page 284 - Up starts a hare before my two greyhounds. The dogs, being light of foot, did fairly run, Unto her fifteen rods, just twenty-one. The distance that she started up' before Was fourscore sixteen rods just, and no more.
Page 251 - Hence, when the extremes and the number of terms are given, to find the sum of all the terms, — Multiply £ the sum of the extremes by the number of terms, and the product will be the answer 10.
Page 272 - Compute the interest to the time of the first payment ; if that be one year or more from the time the interest commenced , add it to the principal, and deduct the payment from the sum total. If there be after payments made, compute the interest on the balance due, to the next payment, and then deduct the payment as above ; and in like manner from one payment to another till all the payments are absorbed ; provided the time between one payment and another be one year or more.
Page 243 - Place the terms of demand, under those of the same kind in the supposition. If the blank place or term sought, fall under the third term, the proportion is direct ; then multiply the first and second terms together for a divisor, and the other three for a dividend...