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 Βιβλία Βιβλία 1 - 10 από 44 για That is, the first term of an increasing arithmetical progression is equal to the.... That is, the first term of an increasing arithmetical progression is equal to the last term, minus the product of the common difference by the number of terms less one. Complete Graded Arithmetic, Oral and Written: Upon the Inductive Method of ... - Σελίδα 298
των James Bates Thomson - 1884 - 400 σελίδες
Πλήρης προβολή - Σχετικά με αυτό το βιβλίο ## An Introduction to Algebra: With Notes and Observations: Designed for the ...

John Bonnycastle - 1811 - 220 σελίδες
...III. The last term of any arithmetical series is equal to the sum or difference of the first term, and the product of the common difference by the number of terms less , one ; according as the series is increasing or decreasing. Thus, the 20th term of 2, 4, 6, 8, 10,... ## A Treatise on Algebra, in Practice and Theory: With Notes and Illustrations ...

John Bonnycastle - 1813
...2 x (a+2d). 5. The last term of any increasing arithmetical series is equal to the first term plus the product of the common difference by the number of terms less one ; and if the series be decreasing, it will he equal to the first term minus that product. Thus,... ## An Introduction to Algebra: With Notes and Observations : Designed for the ...

John Bonnycastle - 1818 - 260 σελίδες
...(a+4d)=(a+d)+(a+3d)=2 X(o+2«i). 5. The last term of any increasing arithmetical series is equal to the first term plus the product of the common difference by the number of terms less one ; and if the series be decreasing, it will be equal to the first term minus that product. Thus,... ## The Complete Practical Arithmetician: Containing Several New and Useful ...

Thomas Keith - 1822 - 332 σελίδες
...13- &c- be 'n arithmetical progression, then will 4. The difference between the extremes is equal to the product of the common difference by the number of terms less one> Thus, if 3. 5. 7. 9. &c. be in arithmetical progression, Tlien will 9—3=2x4—15. The number... ## The Arithmetical Expositor, Or, A Treatise on the Theory and ..., Τόμος 1

Enoch Lewis - 1824
...subsequent term, it is manifest that the whole sum, by which the first term is increased or diminished, is the product of the common difference by the number of terms less one. (48.) The sum of the extremes is evidently equal to the sum of the second from thebeginning, and... ## An Elementary Treatise on Algebra, Theoretical and Practical ...

James Ryan - 1824 - 516 σελίδες
...the terms. Hence the last term of any arithmetical series is equal to the first term plus or minus, the product of the common difference, by the number of terms less one. 469. Also, if s be put equal to the sum of any number of terms of this progression, we shaU have... ## An Elementary Treatise on Algebra: Theoretical and Practical

James Ryan - 1824 - 516 σελίδες
...the terms. Hence the last term of any arithmetical series is equal to the. first term plus or minus, the product of the common difference, by the number of terms less one. 469. Also, if s be put equal to the sum of any number of terms of this progression, we shall have... ## An Introduction to Algebra: With Notes and Observations, Designed for the ...

John Bonnycastle - 1825 - 312 σελίδες
...-:d)= x (a+td.) 5. The last term of any increasing arithmetical series is equal to the first term plus the product of the common difference by the number of terms less one ; and it ^ the series be decreasing, it will be equal to the first term minus that product. Thus,... ## An Introduction to Algebra Upon the Inductive Method of Instruction

Warren Colburn - 1825 - 372 σελίδες
...particular value is given to «. Let I be the term required, then Hence,any term may be found by adding the product of the common difference by the number of terms less one, to the first term. Example. What is the 10th term of the series 3, 5, 7, 9, &c. 1 In this a =... ## An Introduction to Algebra Upon the Inductive Method of Instruction

Warren Colburn - 1828 - 276 σελίδες
...to express the whole until a particular value is given to n. Hence, any term may be found by adding the product of the common difference by the number of terms less one, to the first term. Example. What is the 10th term of the series 3, 5, 7, 9, &c. In this a = 3,...