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" Divide the difference of the extremes by the number of terms, less 1, and the quotient will be the common difference. "
The American Tutor's Assistant Revised: Or, A Compendious System of ... - Σελίδα 155
των Zachariah Jess - 1824 - 212 σελίδες
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A Theoretical and Practical Arithmetic: Designed for Common Schools and ...

Daniel Leach - 1853 - 622 σελίδες
...found. 312. To find the common difference when the two extvsmes and the number of terms are known, — RULE. Divide the difference of the extremes by the number of terms, less one, and the quotient will be the common difference. This rule may be represented by the formula, thus :...

The Theoretical and Practical Systematic Arithmetic; Or, Arithmetic Arranged ...

David Henry Cruttenden - 1853 - 330 σελίδες
...Ans. 6. CASE IV. 1. To find the COMMON DIFFERENCE, knowing the Extremes and the Number of terms. 2. RULE. Divide the difference of the extremes by the number of terms less by 1. 3. Thus, the extremes being 8 and 2258, the number of terms being 76 ; what will be the common...

Indroduction to the National Arithmetic ...

Benjamin Greenleaf - 1854 - 342 σελίδες
...quotient will be the common difference. Thus, 27 -r- 9 = 3, the common difference. Hence the following xj RULE. — Divide the difference of the extremes by the number of terms less one, and the quotient is the common difference. EXAMPLES FOR PRACTICE. 1. The extremes of a series are 3...

The New Federal Calculator, Or Scholar's Assistant

Thomas Tucker Smiley - 1854 - 192 σελίδες
...terms. CoteZ. When the first and last terms (or two extremes,) are given to find the common difference. Rule. Divide the difference of the extremes by the number of terms, less 1; the quotient will be the common difference. Questions. Name the five things which should be particularly...

Arithmetic on the Productive System: Accompanied by a Key and Cubical Blocks

Roswell Chamberlain Smith - 1856 - 334 σελίδες
...then, 25-=-5=5years, the common difference. A. 5 years. 11. Hence, to find the common difference, — Divide the difference of the extremes by the number of terms, less 1, and the quotient Witt te the common difference. 12. If the extremes be 3 and 23, and the number...

The National Arithmetic on the Inductive System: Combining the Analytic and ...

Benjamin Greenleaf - 1857 - 452 σελίδες
...extremes, 45 — 3 = 42, divided by the number of common differences, 21, gives 2 as the common difference required. RULE. — Divide the difference of the extremes by the number of terms less one, and the quotient will be the common difference. EXAMPLES. 2. A certain school consists of 19 teachers...

A Treatise on Arithmetic, Combining Analysis and Synthesis: Adapted to the ...

James Stewart Eaton - 1857 - 376 σελίδες
...Hence, 346. PROB. 2. — The extremes and number of terms being given, to find the common difference, RULE. — Divide the difference of the extremes by the number of terms less one, and the quotient will be the common difference. Ex. 1. The extremes of an arithmetical series are 5...

Introduction to The National Arithmetic: On the Inductive System : Combining ...

Benjamin Greenleaf - 1857 - 336 σελίδες
...quotient will be the common difference. Thus, 27 -S- 9 = 3, the common difference. Hence the following RULE. — Divide the difference of the extremes by the number of terms less one, and the quotient is the common difference. EXAMPLES FOR PRACTICE. 1. The extremes of a series are 3...

Burnham's Arithmetic, Revised: A New System of Arithmetic, on an Improved ...

Charles Guilford Burnham - 1857 - 328 σελίδες
...238* — When the extremes and number of terms are given, to find the common difference, we have this RULE. Divide the difference of the extremes by the number of terms less 1, and the quotient will be the common difference. 7. If the first term of a series be 3, the last...

The National Arithmetic on the Inductive System: Combining the Analytic and ...

Benjamin Greenleaf - 1858 - 456 σελίδες
...the number of common differences, 21, gives 2 as the common difference required. RULE. — Dh-itle the difference of the extremes by the number of terms less one, and the quotient will be the common difference. EXAMPLES. 2. A certain school consists of 19 teachers...




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