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" The first term, the last term (or the extremes) and the ratio given, to find the sum of the series. RULE. Multiply the last term by the ratio, and from the product subtract the first term ; then divide the remainder by the ratio, less by 1, and the quotient... "
A System of Practical Arithmetic: Applicable to the Present State of Trade ... - Σελίδα 150
των Jeremiah Joyce - 1812 - 258 σελίδες
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Daboll's Schoolmaster's Assistant: Improved and Enlarged: Being a Plain ...

Nathan Daboll - 1829 - 268 σελίδες
...The first term, the last tcrir (or the extremes) and the ratio given, to fin.1 the sum of the series. RULE. Multiply the last term by the ratio, and from the product subtract ihe first term : then divide the remainder by the ratio, less by 1 , and the quotient will be tl\e...

The Youth's Assistant in Theorhetic [sic] and Practical Arithmetic: Designed ...

Zadock Thompson - 1832 - 182 σελίδες
...term by the ratio. Hence, II. The first and last term and ratio given to find the sum of the series. RULE.— Multiply the last term by the ratio, and from the product subtract the first term, the remainder divided by the ratio, less 1, will give the sum of the series. 2. The first term of a...

The Youth's Assistant in Theoretic and Practical Arithmetic: Designed for ...

Zadock Thompson - 1832 - 186 σελίδες
...term by the ratio. Hence, II. The first and last term and ratio given to find the sum of the series, RULE. — Multiply the last term by the ratio, and from the product subtract the first term, the remainder divided by the ratio, less 1, will give the sum of the series. 2. The first term of a...

The Arithmetical Manual

Samuel Read Hall - 1832 - 294 σελίδες
...answer. RULE 2. When the first term, last term and ratio are given, to find the sum of the series, — Multiply the last term by the ratio, and from the product subtract the first. Divide the remainder by the ratio less 1, and the quotient will be the answer. Example. If the first...

Welch's Improved American Arithmetic: Adapted to the Currency of the United ...

1841 - 200 σελίδες
...Given the first term, the last term, and the ratio, to find the aggregate or total sum of the series. RULE. — (') Multiply the last term by the ratio,...product subtract the first term, and the remainder, di# If the ratio had been 3, 4, or 5, &c. you must have multiplied by it. vided by the ratio less one,...

Daboll's Schoolmaster's Assistant: Improved and Enlarged, Being a Plain ...

Nathan Daboll - 1841 - 250 σελίδες
...first term, the last term (or the extremes) and the ratio given, to find the sum of the series ROLE, Multiply the last term by the ratio, and from the product subtract the first term ; then divide the remainder by the ratio, less by I, and the quotient will be the sum of all the terms....

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

George Roberts Perkins - 1841 - 274 σελίδες
...given the sum of all the terms, the List term, and the ratio, to find the first term, we have this RULE. Multiply the last term by the ratio, and from the product subtract the product of the sum of all the terms into the ratio, less one. Examples. 1. The sum of all the terms...

A New Practical and Theoretical Arithmetic: In which in Addition to the ...

Horatio Nelson Robinson - 1845 - 310 σελίδες
...and we have the sum of the series. Hence, to find the sum of a series, we have the following RULE 2. Multiply the last term by the ratio; and from, the product, subtract the first term : then divide the remainder by the ratio less one. When the extreme terms, and number of terms, are...

The American Statistical Arithmetic: Designed for Academies and Schools

Francis Henney Smith - 1845 - 710 σελίδες
...the sum of the series is equal to the last term multiplied by the ratio; this product diminished by the first term, and the remainder divided by the ratio less one. EXAMPLES. !• What is the sum of the geometrical series whose first term is 2, ratio 3, and number...

Smith and Duke's The American Statistical Arithmetic: Designed for Academies ...

Francis Henney Smith - 1845 - 300 σελίδες
...the sum of the series is equal to the last term multiplied by the ratio; this product diminished by the first term, and the remainder divided by the ratio less one. EXAMPLES. 1. What is the sum of the geometrical series whose first term is 2, ratio 3, and number of...




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