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Given the first term, last term, and common difference, to find the number of terms. RULE. — Divide the difference of the extremes by the common difference, and the quotient increased by 1 is the number of terms.
The parallel arithmetic - Page 106
by W H. Wingate - 1865

## Daboll's Complete Schoolmaster's Assistant: Being a Plain Comprehensive ...

Nathan Daboll, David Austin Daboll - Arithmetic - 1849 - 260 pages
...and the number of terms 140.) CASE IV. The first term, last term and common difference given, to Jind the number of terms. RULE. Divide the difference of the extremes by the common difference, and the quotient increased by 1, will be the number of terms. EXAMPLES. 1 . A man bought cloth in arithmetical...

## A New System of Arithmetic on an Improved Plan

Charles Guilford Burnham - 1850 - 352 pages
...purchased. Therefore — Art. 239. — When the first and last terms, and the common difference are given, to find the number of terms — RULE. Divide...difference of the extremes by the common difference, and the quotient will be 1 less than the number of terms. 10. If the first term of a series be 2, and...

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

Benjamin Greenleaf - Arithmetic - 1850 - 368 pages
...Problem I. that the number of terms is one more than the number of differences ; therefore 8 -(- 1 = 9, the number of terms. RULE. — Divide the difference of the extremes by the common difference, and the quotient increased by one will be the number of terms required. 9. If the extremes are 3 and...

## The scholar's guide to arithmetic; or, A complete exercise-book

John Bonnycastle - 1851 - 314 pages
...journey is daily augmented. Ans. Daily increase, 5 miles. PROBLEM II. The two extremes, and the common difference being given, to find the number of terms....difference of the extremes by the common difference, and the quotient, increased by 1, will be the number of terms required.* that the total increase, divided...

## Engineers' and Mechanics' Pocket-book ...

Charles Haynes Haswell - Engineering - 1851 - 346 pages
...of a clock strike in 12 hours 1 12X(13~-2)~78 J3ns. When the Common Difference and the Extremes are given, to find the Number of Terms. RULE.— Divide...difference of the extremes by the common difference, and add one to the quotienL EXAMPLE. — A man travelled 3 miles the first day, 5 the second, 7 the...

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

Benjamin Greenleaf - Arithmetic - 1852 - 378 pages
...that the number of terms is, one more than the number of differences ; therefore 8 -j- 1 — 9, tVie number of terms. RULE. — Divide the difference of the extremes by the common difference, and the quotient increased by one will be the number of terms required. 9. If the extremes are 3 and...

## Engineers' and Mechanics' Pocket-book ...

Charles Haynes Haswell - Engineering - 1853 - 318 pages
...a clock strike in 12 hours ? 12X (13-7-2) = 78 Mns. When the Common Difference and the Extremes are given, to find the Number of Terms. RULE. — Divide...difference of the extremes by the common difference, and add one to the quotient. EXAMPLE. — A man travelled 3 miles the first day, 5 the second, 7 the...

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

James Stewart Eaton - Arithmetic - 1857 - 376 pages
...number of additions; ie the number of terms less one. Hence, 34:8. PROB. 3. — The extremes and common difference being given to find the number of terms,...difference of the extremes by the common difference, add 1 to the quotient and the sum will be the number of terms. Ex. 1. The extremes of an arithmetical...