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" Hence, when the extremes and number of terms are given, to find the common difference, — Divide the difference of the extremes by the number of terms, less 1, and the quotient will be the common difference. "
Higher Arithmetic: Designed for the Use of High Schools, Academies, and Colleges - Σελίδα 98
των George Roberts Perkins - 1841 - 252 σελίδες
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A New System of Arithmetic, on the Cancelling Plan: Embracing the Rules of ...

Charles Guilford Burnham - 1841 - 324 σελίδες
...When the extremis and number of terms are given, to find the common difference, ive, have this RULE. Divide the difference of the extremes by the number of terms less l,antl the quotient will be the common difference. 7. If the first term of a series be 3, the last...

Elements of Algebra

Charles Davies - 1842 - 368 σελίδες
...arithmetical progression, the last term is equal to the first term minus the product of the common difference by the number of terms less one. , EXAMPLES. 1. The first term of a decreasing progression is 60, the number of terms 20, and the common difference 3: what is the last...

Arithmetical Spyglass and Teacher's Assistant: Intended as a Key and ...

Charles Waterhouse - 1842 - 178 σελίδες
...term, and number of terms given, to find the common difference ; or, sum of all the terms. RULE. — Divide the difference of the extremes by the number of terms less 1, the quotient will be the difference. Multiply the sum of the extremes by the number of terms, half...

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

Roswell Chamberlain Smith - 1842 - 320 σελίδες
...•*- 5= 5 years, 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 will be the common difference. 12. If the extremes be 3 and 23, and the number...

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

Nathan Daboll - 1843 - 254 σελίδες
...miles. The first term, last term, and number o/" 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 difference. EXAMPLES. 1. A man bought 17 yards of cloth in arithmetical...

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

Roswell Chamberlain Smith - 1843 - 320 σελίδες
...then, 25-^5= 5 years, 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 will 1>e the common difference. 12. If the extremes be 3 and 23, and the number...

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

Pliny Earle Chase - 1844 - 246 σελίδες
...the difference of the extremes 24, must be 8 times the common difference, which is therefore 3. RULE. Divide the difference of the extremes by the number of terms less one, and the quotient will be the common difference. This difference repeatedly added to the less, or subtracted...

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

Pliny Earle Chase - 1844 - 258 σελίδες
...the difference of the extremes 24, must be 8 times the common difference, which is therefore 3. RULE. Divide the difference of the extremes by the number of terms less one, and the quotient will be the common difference. This difference repeatedly added to the less, or subtracted...

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

Benjamin Greenleaf - 1844 - 352 σελίδες
...term, last term, and the number of terms being given, to find the common difference. RULE. JDivide the difference of the extremes by the number of terms less one, and the quotient is the common difference. 1. The extremes are 3 and 45, and the number of terms is...

A manual of arithmetic

George Hutton (arithmetic master, King's coll. sch.) - 1844 - 276 σελίδες
...= 3, the common difference; and the whole series 3 : 6 : 9 : 12 : 15: 18 : 21: 24. Hence the RULE. Divide the difference of the extremes by the number of terms less 1, and the quotient will be the " common difference, or ratio of the progression. EXAMPLES FOR PRACTICE....




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