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" In arithmetical progression, there are five things to be considered, viz.: 1, The first term. 2, The last term. 3, The common difference. 4, The number of terms. 5, The sum of all the terms. "
The Normal Written Arithmetic: By Analysis and Synthesis, Designed for ... - Σελίδα 253
των Edward Brooks - 1863
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The Private Instructor, Or Mathematics Simplified: Comprising Every Thing ...

Jason M. Mahan - 1839 - 312 σελίδες
...arithmetical progression five things are to be observed, viz. 1. The first term. 2. The common difference. 3. The last term. 4. The number of terms. 5. The sum of all the terms. Any three of which being given, the rest may be found. Note — When any even number of terms differ,...

Higher Arithmetic: Designed for the Use of High Schools, Academies, and Colleges

George Roberts Perkins - 1841 - 274 σελίδες
...there are five things to be considered : 1. The first term. 2. The last term. 3. The common ratio. 4. The number of terms. 5. The sum of all the terms. Hence, there must be 20 distinct cases arising from the different combinations of these five quantities....

An Elementary Arithmetic ...: Serving as an Introduction to the Higher ...

George Roberts Perkins - 1846 - 266 σελίδες
...there are five things to be considered. 1. The first term. • 2. The last term. 3. The common ratio. 4. The number of terms. 5. The sum of all the terms. These quantities are so related to each other, that any three being given, the remaining two can be...

American Common-school Arithmetic ...

Rufus Putnam - 1849 - 402 σελίδες
...Progression, 5 things are to be considered, viz. : 1. The first term. 2. The last term. 3. The common ratio. 4. The number of terms. 5. The sum of all the terms. CASE I. 1. If the first term of a geometrical progression is 5, and the ratio 3, what is the 5th term of the...

Putnam's Arithmetic

Rufus Putnam - 1849 - 276 σελίδες
...are 5 things to be considered, viz. : 1. The first term. 2. The last term. 3. The common difference. 4. The number of terms. 5. The sum of all the terms; any three of which being given, the rest may be found. 1. If in a series the first term is 2, and the...

An Elemtary Arithmetic ...: Serving as an Introduction to the Higher ...

George Roberts Perkins - 1849 - 346 σελίδες
...there are five things to be considered : 1. The first term. 2. The last term. 3. The common difference. 4. The number of terms. 5. The sum of all the terms. These. quantities are so related to each other, that any three of them being given, the remaining two...

Scribner's Engineers' and Mechanics' Companion: Comprising United States ...

J. M. Scribner - 1849 - 286 σελίδες
...five things to be considered, viz.: 1, The first term. 2, The last term. 3, The common difference. 4, The number of terms. 5, The sum of all the terms. These quantities are so related to each other, that when any three of them are given, the remaining...

Higher Arithmetic: Designed for the Use of High Schools, Academies, and ...

George Roberts Perkins - 1849 - 344 σελίδες
...there are five things to be considered: 1. The first term. 2. The last term. 3. The common difference. 4. The number of terms. 5. The sum of all the terms. If we denote the five things by the numerals 1, 2, 3, 4, 5, they may be taken by threes, as follows...

An Elementary Arithmetic Serving as an Introduction to the Higher Arithmetic

George Roberts Perkins - 1850 - 364 σελίδες
...progression, there are five things to be considered. 1 The first term. 2. The last term. 3. The common ratio. 4. The number of terms. 5. The sum of all the terms. These quantities are so related to each other, that any three being given, the remaining two can be...

Higher Arithmetic: Designed for the Use of High Schools, Academies, and ...

George Roberts Perkins - 1850 - 356 σελίδες
...are five things to be considered : 1 . The first term. 2. The last term. 3. The common difference. 4. The number of terms. 5. The sum of all the terms. These quantities are so related to each other, that any three of them being given, the remaining two...




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