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 Βιβλία Βιβλία 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. An Introduction to Algebra: Upon the Inductive Method of Instruction - Σελίδα 229
των Warren Colburn - 1837 - 276 σελίδες
Πλήρης προβολή - Σχετικά με αυτό το βιβλίο ## A Treatise on Algebra

Elias Loomis - 1879 - 384 σελίδες
...arithmetical means. 322. In an arithmetical progression the last term is equal to the first term plus the product of the common difference by the number of terms less one. Let the terms of the series be represented by a, a + d, a + 2d, a+3d, a+4c?, etc. Since the coefficient... ## New Elementary Algebra: Designed for the Use of High Schools and ..., Βιβλίο 1

Benjamin Greenleaf - 1879 - 336 σελίδες
...as the series is En inereasing or a deereasing one. Hence the following RULE. To the first term add the product of the common difference by the number of terms less one. EXAMPLES. 1. If the first term is 5, the common difference 3, and the number of terms 20, what is the... ## Graded Problems in Arithmetic and Mensuration

Samuel Mecutchen - 1880 - 232 σελίδες
...difference, and the number of terms being given, to find the other extreme. To the less extreme add the product of the common difference by the number of terms less one ; or, subtract this product from the greater extreme; the result in either case will be the other extreme.... ## Graded Problems in Arithmetic and Mensuration

Samuel Mecutchen - 1880 - 232 σελίδες
...difference, and the number of terms being given, to find the other extreme. To the less extreme add the product of the common difference by the number of terms less one ; or, subtract this product from the greater extreme ; the result in either case will be the other... ## Complete Graded Arithmetic, Oral and Written: Upon the Inductive Method of ...

James Bates Thomson - 1882 - 400 σελίδες
...of terms 7. ANALYSIS. — The first term of an increasing series will be the last term diminished by the product of the common difference by the number of terms less one. The series is 45-5x6, 45-5x5, 45-5x4, 45-5x3, 45-5x2, 45-5x1, 45. Hence, the RULE. — I. Multiply... ## Complete Arithmetic: Elements and Commercial. New Series

Christian Brothers - 1888
...and add the result to the first term. NOTE. — In a descending series, instead of adding, subtract the product of the common difference by the number of terms less one. WRITTEN EXERCISES. 2. In an arithmetical progression the first term is 8, the common difference is... ## New Elementary Algebra Embracing the First Principles of the Science

Charles Davies - 1891 - 294 σελίδες
...for this general term is Hence, for finding the last term, we have the following rule : — Multiply the common difference by the number of terms less one. To the product add the first term. The sum mil be the last term. The formula l=a + (nl)d serves to find any... ## New Practical Arithmetic: In which the Science and Its Applications are ...

Henry B. Maglathlin - 1894 - 360 σελίδες
...preceding case, the last term 11 =z 3 -{- 2 X 4, and subtracting the first term 3, we have 2 X 4, or the product of the common difference by the number of terms less one. Hence, to find the common difference, Divide the difference of the extremes by the number of terms... ## New Elementary Algebra Embracing the First Principles of the Science

Charles Davies - 1891 - 294 σελίδες
...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. From the same formula we also find j I — a , , , . a = - ; that is, n—l In any arithmetical progression,...