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Divide the difference of the extremes by the common difference, and the quotient, increased by 1 , will be the answer.
Practical and Mental Arithmetic, on a New Plan, in which Mental Arithmetic ... - Σελίδα 261
των Roswell Chamberlain Smith - 1836 - 284 σελίδες
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## The Common-school Arithmetic: Designed for Learners of Every Class; and ...

Pliny Earle Chase - 1857 - 319 σελίδες
...divided by the common difference, (§ 186, 188,) gives the number of terms, less 1. Therefore, To FIND THE NUMBER OF TERMS, divide the difference of the extremes by the common difference, and add 1 to the quotient, THE SUM OF THE TERMS is found by Case I. 191. EXAMPLES FOR THE PUPIL. For answers...

## A New System of Arithmetic, on an Improved Plan, Embracing the Rules of ...

Charles Guilford Burnham - 1857
...the first and last terms, and the common difference are given, to find the number of terms — RULE. Divide the 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 last term...

## A NEW SYSTEM OF ARITHMETIC

CHARLES G. BURNHAM - 1857
...the first and last terms, and the common difference* are given, to find the number of terms — RULE. Divide the 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 last term...

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

Benjamin Greenleaf - 1858 - 444 σελίδες
...more than the number of common differences, 8 -\1 = 9 is the number of terms in the series. RULE. — Divide the difference of the extremes by the common...difference, and the quotient increased by 1 will be the required number of terms. EXAMPLES. 2. A man going a journey travelled the first day 7 miles, the last...

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

Benjamin Greenleaf - 1858 - 324 σελίδες
...therefore, 9 -j- 1 = 10 is the number of terms in this series. Hence the following RULE. — Dicide the difference of- the extremes by the common difference, and the quotient, increased by 1, will be the number of terms required. EXAMPLES FOR PRACTICE. 1. If the extremes of a series are 4 and 44, and the...

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

Benjamin Greenleaf - 1859 - 324 σελίδες
...differences ; therefore, 9 -)- 1 = 10 "is the number of terms in this series. Hence the following RULE. — Divide the difference of the extremes by the common difference, and the quotient, increased by I, will be the number of terms required. EXAMPLES FOR PRACTICE. 1. If the extremes of a series are...

## Higher Arithmetic : Or, The Science and Application of Numbers ..., Βιβλίο 6

James Bates Thomson - 1860 - 422 σελίδες
...common difference ? 605. To find the number of terms, when the extremes and common difference are given. Divide the difference of the extremes by the common...difference, and the quotient increased by 1 will be the number of terms. OBS. The truth, of this principle is manifest from the manner in which the successive...

## Introduction to the National Arithmetic, on the Inductive System: Combining ...

Benjamin Greenleaf - 1861 - 324 σελίδες
...differences; therefore, 9 -f- 1 = 10 is the number of terms in this series. Hence the following RULE. — Divide the difference of the extremes by the common...difference, and the quotient. increased by 1, will be the number of termi required. EXAMPLES FOR PRACTICE. 1. If the extremes of a series are 4 and 44, and the...

## The Common School Arithmetic: Combining Analysis and Synthesis; Adapted to ...

James Stewart Eaton - 1862
...is the common difference multiplied by one less than the number of terms. Hence, conversely, RULE. Divide the difference of the extremes by the common difference, and the quotient, increased by 1, is the number of terms. Ex. 1. The extremes of an arithmetical series are 3 and 31 and the common difference...

## The Common School Arithmetic: Combining Analysis and Synthesis; Adapted to ...

James Stewart Eaton - 1864 - 312 σελίδες
...is the common difference multiplied by one less than the number of terms. Hence, conversely, R0LE. Divide the difference of the extremes by the common difference, and the quotient, increased by 1, is the number of terms. Ex. 1. The extremes of an arithmetical series are 3 and 31 and the common difference...