The elements of algebra1857 |
From inside the book
Results 1-5 of 6
Page 171
... Progression . And the same proof may be extended to any number of terms ... Arithmetic Series , .. the Common Difference of this Series : 1 1 - and its ... Progression being given , the means , or intervening terms , may be found . Let a ...
... Progression . And the same proof may be extended to any number of terms ... Arithmetic Series , .. the Common Difference of this Series : 1 1 - and its ... Progression being given , the means , or intervening terms , may be found . Let a ...
Page 172
James Wood Thomas Lund. hence the Arithmetic Means are 1 a - l 1 2 ( a - 1 ) ... Series , since the sum of any number of quantities is not deducible from the sum ... Progression , but which may be made to depend upon the rules of one or both ...
James Wood Thomas Lund. hence the Arithmetic Means are 1 a - l 1 2 ( a - 1 ) ... Series , since the sum of any number of quantities is not deducible from the sum ... Progression , but which may be made to depend upon the rules of one or both ...
Page 445
... Progression , if the p + qth term = m , and the term = n , shew that the ph term ( m + n ) , and the qth term — ( m - n ) . ( Comp . p . 97. ) = m- 1 = 2 1 34. If the mh term of an Arithmetic Progression ARITHMETICAL PROGRESSION . 445.
... Progression , if the p + qth term = m , and the term = n , shew that the ph term ( m + n ) , and the qth term — ( m - n ) . ( Comp . p . 97. ) = m- 1 = 2 1 34. If the mh term of an Arithmetic Progression ARITHMETICAL PROGRESSION . 445.
Page 446
James Wood Thomas Lund. 1 34. If the mh term of an Arithmetic Progression = n , and the nth term = m , of how many terms will the sum be ( m + n ) ( m + n − 1 ) , and what will be the last of them ? ( Comp . p . 98. ) ( 1 ) Ans . m + n ...
James Wood Thomas Lund. 1 34. If the mh term of an Arithmetic Progression = n , and the nth term = m , of how many terms will the sum be ( m + n ) ( m + n − 1 ) , and what will be the last of them ? ( Comp . p . 98. ) ( 1 ) Ans . m + n ...
Page 464
... Arithmetic Progression , ( Comp . p . 140. ) Ans . ( m - n - 2mn ) , ( m2 + n2 ) 3 , ( m2 — n2 + 2mn ) ' . SCALES OF NOTATION . 1. 17486 is in the denary scale , find the equivalent number in the senary scale . Ans . 212542 . 2. 215855 ...
... Arithmetic Progression , ( Comp . p . 140. ) Ans . ( m - n - 2mn ) , ( m2 + n2 ) 3 , ( m2 — n2 + 2mn ) ' . SCALES OF NOTATION . 1. 17486 is in the denary scale , find the equivalent number in the senary scale . Ans . 212542 . 2. 215855 ...
Common terms and phrases
algebraical quantities annuity Arithmetical Progression Binomial Theorem coefficient common denominator Comp contain continued fraction convergent cube root denary difference digits divided divisible divisor Edition equal equation EXERCISES expressed Extract the square factors Find the G.C.M. find the number Find the square find the sum Find the value given greater Greatest Common Measure Hence hour latter Least Common Multiple less lowest terms miles Mult multiplied N₁ negative nth root number of combinations number of terms numerator and denominator positive integers Post 8vo Present Value prime number proportion proposed quantities prove quadratic quadratic equation quotient radix ratio reduced remainder represented rule scale shew shillings square root ST JOHN'S COLLEGE subtracted suppose surd unknown quantities vols vulgar fraction whole number Woodcuts
Popular passages
Page 574 - Ephemera. — The Book of the Salmon: Comprising the Theory, Principles, and Practice of Fly-fishing for Salmon: Lists of good Salmon Flies for every good River in the Empire ; the Natural History of the Salmon, all its known Habits described, and the best way of artificially Breeding it explained. With numerous coloured Engravings. By EPHEMERA j assisted by ANDREW YOUNG.
Page 577 - Kirby and Spence's Introduction to Entomology ; or, Elements of the Natural History of Insects : Comprising an Account of Noxious and Useful Insects, of their Metamorphoses, Food, Stratagems, Habitations, Societies, Motions, Noises, Hybernation, Instinct, &c.