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" Multiply the last term by the ratio, from the product subtract the first term, and divide the remainder by the ratio, less 1; the quotient will be the sum of the series required. "
Practical and Mental Arithmetic ... - Σελίδα 263
των Roswell Chamberlain Smith - 1839
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An Algebra Upon the Inductive Method of Instruction

John Hopkins Harney - 1840 - 288 σελίδες
...— a (r — l)s = ar5 — a ar5 — a Multiply the last term of the series by the ratio ; from that product subtract the first term, and divide the remainder by the ratio, less one. The result will be equal to the sum of the series. 10 Find the sum of 5 terms of the series 60,...

United States Calculator: Or, Arithmetic Simplified

John M'Nevin - 1841 - 280 σελίδες
...decreases. CASE I. 2. Multiply the product by the first term, and the result will be the last term. 3. Multiply the last term by the ratio; from the product...term, and divide the remainder by the ratio less 1, for the sum of the series. 1. If I buy 16 cords of wood, and agree to pay 2 cents for the first, 4...

The United States Calculator: Or, Arithmetic Simplified, in Dollars and ...

John M'Nevin - 1841 - 280 σελίδες
...of terms given. 2. Multiply the product by the first term, and the result will be the last term. 3. Multiply the last term by the ratio; from the product...term, and divide the remainder by the ratio less 1, for the sum of the series. 1 . If I buy 1 6 cords of wood, and agree to pay 2 cents for the first,...

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

Roswell Chamberlain Smith - 1842 - 306 σελίδες
...the extremes and ratio are given, to find the sum of the series, we have the following RULE. 2 1 . Multiply the last term by the ratio, from the product...the quotient will be the sum of the series required. 22. If the extremes be 5 and 6,400, and the ratio 6, what is the whole amount of the series ? 6 4 0...

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

Roswell Chamberlain Smith - 1843 - 284 σελίδες
.....- .- >• . • :•••••": •> RULE. _ ........ ' ., • f, g 1'iir1:' ' • • • » J Multiply the last term by the ratio, from the product...be the sum of the series required. . . , 9. If the extreme! be 5 and 6400, and the ratio 6, what is the whole amount ofthe series? r . •- ..... . ....

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

Roswell Chamberlain Smith - 1843 - 306 σελίδες
...when the extremes and ratio are given, to find the sum of the series, we have the following RULE. 21. Multiply the last term by the ratio, from the product...the quotient will be the sum of the series required. 22. If the extremes be 5 and 6,400, and the ratio 6, what is the whole amount of the series ? 6400x6-5...

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

Roswell Chamberlain Smith - 1843 - 282 σελίδες
...Hence, When the Extremes and Ratio are given, to ßnd th¡ Sum of the Series, we have the following easy RULE. Multiply the last term by the ratio, from the...less 1 ; the quotient will be the sum of the series requirnd. 9. If tho extremes he 5 and 6400, and the ratio 6, what is the whole amount ef tho scries?...

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

Roswell Chamberlain Smith - 1843 - 284 σελίδες
...we have the following easy RULE. Multiply the la?t term by the ratio, from the product subtract tho first term, and divide the remainder by the ratio,...sum of the series required. 9. If the extremes be 5 ami 6100, and the ratio 6, what is the whole amount of tho series? TO. A aura of money is to be divided...

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

Nathan Daboll - 1843 - 240 σελίδες
...first term, the last term, (or the extremes,) and the ratio given, to find the sum of the series. BULB. Multiply the last term by the ratio ; from the product...term, and divide the remainder by the ratio, less 1, and the quotient will be the sum of all the terms. EXAMPLES. 1 . A man bought 6 yards of cloth, giving...

Elements of Algebra: Being an Abridgment of Day's Algebra, Adapted to the ...

James Bates Thomson - 1844 - 252 σελίδες
...term in the given series. 373. To find the sum of a geometrical series. Multiply the last term into the ratio, from the product subtract the first term, and divide the remainder by the ratio less one. Obser. From the above formula, in connexion with the one in Art. 368, there may be the same variety...




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