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PROBLEM II. The first term, the last term, and the number of terms given, to find the common difference. RULE. — Divide the difference of the extremes by the number of terms less 1 , and the quotient will be the common diffcrenct.
The Youth's Assistant in Theoretic and Practical Arithmetic: Designed for ... - Page 118
by Zadock Thompson - 1838 - 164 pages

## Ray's New Practical Arithmetic: A Rev. Ed. of the Practical Arithmetic

Joseph Ray - Arithmetic - 1877 - 336 pages
...by 6, the number of 20 — 2 = 18 terms less 1, is 3, the common difference. 1 8 -5- 6 = 3 Bule. — Divide the difference of the extremes by the number of terms less one. 2. The extremes are 3 and 300 ; the number of terms 10 : find the common difference. 33. 3. A...

## The civil service arithmetic. [With] A key. [With] A key, Volume 1

...terms 7, what is the sum of the series ? 27 3 Sum of extremes •= 30 ; then х ' .i 15x7-105 Ant. 161. To find the Common Difference. RULE. — Divide the difference of the extremes by one less than the number of terms. Ex. 2. The extremes are 2 and 39 J and the number of terms 13. «hat...

## Bradbury's Eaton's Practical Arithmetic ...

William Frothingham Bradbury - 1879 - 392 pages
...difference divided by3(15-:-3 = 5) gives one of these additions, that is the common difference. Hence, Rule. Divide the difference of the extremes by the number of terms less one. . 91. The extremes of an arithmetical series are 4 and 55, and the number of terms is 18 ; what...

## Bradbury's Eaton's Practical Arithmetic, Combining Oral and Written Exercises

William Frothingham Bradbury - Arithmetic - 1879 - 446 pages
...divided by 3 (15 4-3 = 5) gives one of these additions, that is the common difference. Hence, Bole. Divide the difference of the extremes by the number of terms less one. 91. The extremes of an arithmetical series are 4 arid 55, and the number of terms is 1 8 ; what...

## The Progressive Higher Arithmetic: For Schools, Academies, and Mercantile ...

Horatio Nelson Robinson - 1875 - 446 pages
...equal to the common difference multiplied by the number of teTms less 1, (677)> we have the following RULE. Divide the difference of the extremes by the number of terms less 1 EXAMPLES FOR PRACTICE. 1. If the extremes of an arithmetical series are 3 and 15, and the number of...

## A Complete Graded Arithmetic: Oral and Written Upon the Inductive Method of ...

James Bates Thomson - Arithmetic - 1882 - 396 pages
...of terms less 1 ; therefore 18-i-9, or 2, is the common difference required. (Art. 764.) Hence, the RULE. — Divide the difference of the extremes by the number of terms less 1. FOEMULA. .-rf, = j !=« 2. The ages of 10 children form an arithmetical series ; the youngest is 3...

James Bates Thomson - Arithmetic - 1882 - 416 pages
...1; therefore 18-5-9, or 2, is the common difference required. (Art. 764.) Hence, the RULE.—Divide the difference of the extremes by the number of terms less 1. 2. The age» of 10 children form an arithmetical series; the youngest is 3 yr. and the eldest 30 years;...

## Complete Arithmetic: Elements and Commercial. New Series

Christian Brothers - Arithmetic - 1888 - 242 pages
...and the last term, divided by the number of terms less 1. RULE. — To find the common difference, divide the difference of the. extremes by the number of terms less one. W RITTE N EXERCISES. 2. If the number of terms is 30, the first term 13, and the last term 129,...