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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 Youth's Assistant in Theoretick and Practical Arithmetic - Σελίδα 128
των Zadock Thompson - 1826 - 164 σελίδες
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Arithmetic on the Productive System: Accompanied by a Key and Cubical Blocks

Roswell Chamberlain Smith - 1843 - 320 σελίδες
...31. Hence, when the extremes and common difference are given, to find the number of terms:—Divide the difference of the extremes by the common difference, and the quotient, increased by 1, will be the answer. 32. If the extremes be 3 and 45, and the common difference 6, what is the number...

Practical and Mental Arithmetic, on a New Plan: In which Mental Arithmetic ...

Roswell Chamberlain Smith - 1843 - 306 σελίδες
...A. 12. Hence, When the Extremes and Canmon Difference are given, to find tlie Number of Terms ; — Divide the difference of the extremes by the common difference, and the quotient, increased by l, wül be the answer. 17. If the extremos he 3 and 45, and the common difference 6, what is the number...

Practical and Mental Arithmetic: On a New Plan, in which Mental Arithmetic ...

Roswell Chamberlain Smith - 1843 - 318 σελίδες
...;,. 12. Hence, When the Extremes mid Common Difference ore given, to ßnd the Number of Terms ; — Divide the difference of the extremes by the common difference, and the quotient, increasnd by 1, will be the answer. 17. If the extremes be 3 and 45, and the common difference 6, what...

Elements of Arithmetic: For Schools and Academies. In which Decimal and ...

Pliny Earle Chase - 1844 - 246 σελίδες
...5, gives 7, which must be equal to the number of terms less 1. Therefore the number of terms is 8. RULE. Divide the difference of the extremes by the common difference, and add 1 to the quotient. 13. What is the sum of the series 2, 4, 6, 8, &c., to 1000? 14. What is the...

The Elements of Arithmetic ... in which Decimal and Integral Arithmetic are ...

Pliny Earle Chase - 1844 - 258 σελίδες
...5, gives 7, which must be equal to the number of terms less 1. Therefore the number of terms is 8. RULE. Divide the difference of the extremes by the common difference, and add 1 to the quotient. 13. What is the sum of the series 2, 4, 6,8, &c., to 1000? 14. What is the sum...

A manual of arithmetic

George Hutton (arithmetic master, King's coll. sch.) - 1844 - 276 σελίδες
...difference being given, to find the number of terms in the series. RULE. Divide the difference between the extremes by the common difference, and the quotient increased by 1 will be the number of the terms. EXAMPLES FOR PRACTICE. 1. The extremes of an arithmetical progression...

The Columbian Calculator: Being a Practical and Concise System of Decimal ...

Almon Ticknor - 1846 - 274 σελίδες
...will be doubled. Given the extremes and the common difference, to find the number of terms. RULE in. Divide the difference of the extremes by the common difference, and the quotient, increased by 1, will be the number of terms required. 5. The extremes are 3 and 39, and the common difference 2 ; what...

The United States Arithmetic: Designed for Academies and Schools

William Vogdes - 1847 - 324 σελίδες
...place from Washington ? § 166. CASE 3. Given the first term, the last term, and the common difference, to find the number of terms. RULE. Divide the difference...common difference 3 : what is the number of terms ? со л Thus -^ =17, and 17+1 = 18 Answer. 3 2. If the extremes be 5 and 74, and the common difference...

Higher Arithmetic: Or, The Science and Application of Numbers; Combining the ...

James Bates Thomson - 1847 - 434 σελίδες
...common difference ? 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. Tlie truth of this principle is manifest from the manner in which...

The National Arithmetic, on the Inductive System

Benjamin Greenleaf - 1847 - 336 σελίδες
...miles, 2 rods. PROBLEM III. Given the extremes and the common difference, to find the number of terms. 1 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. Tf the extremes are 3 and 45, and the common difference...




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