This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1853 Excerpt: ...the terms. q E q the greater extreme. q e q the less extreme. q d q the common difference. q n q the number of terms. Example.--What is the sum of all the even numbers from 2 to 100, inclusive? Example.--How many times does the hammer of a common clock strike in 12 hours? (2 e-f-re--1 X 0 XJn = sum of the terms. The greater extreme, the common difference, and the number of terms of an arithmetical progression being given, to find the less extreme. E--(dy, n--1) = less extreme. Example.--A man travelled 18 days, and every day 3 miles farther than on the preceding; on the last day he travelled 56 miles; how many miles did he travel the first day? s n--1 X d---J-2 = greater extreme. 2s-i-n--e = greater extreme. The extremes of an arithmetical progression and the common difference being given, to find the number of terms. E--e-f-d +1 = number of terms. ExAiirLE.--As a heavy body, falling freely through space, descends I0-j'j feet in the first second of its descent, 48T32-feet in the next second, 80-in the third second, and so on; how many seconds had that body been falling, that descended 305-feet in the last second of its descent? 305tv--16r? = 2891-f-32 = 9-f 1 = 10 seconds..4ns. V' (2 e d)'1-f-8 5 d--d--2 c = number of terms. 2 The extremes of an arithmetical progression, and the number of terms being given, to find the common difference. E--e r = common difference. n--x Example.--One of the extremes of an arithmetical progression is 28 and the other is 100, and there are 19 terms in the series; required the common difference. 10028-f-1v/19 = 4. Ans. 2E--(2sn) T = common difference. n--I Example.--The less extreme of an arithmetical progression is 28, the sum of the terms 1216, and the number of terms 19; required...This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1853 Excerpt: ...the terms.

Title | : | The Computist's Manual of Facts, and Merchant's and Mechanic's Calculator and Guide; Or a Complete Library of Numerical, Arithmetical and Mathematical Facts, Tables, Data, Formulas and Practical Rules for the General Business Man, Merchant, Mechanic and |

Author | : | Ezra S Winslow |

Publisher | : | Rarebooksclub.com - 2012-05-16 |

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