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" Multiply the sum of the extremes by the number of terms, and half the product will be the answer. EXAMPLES. 1. The first term of an arithmetical series is 3, the last term 23, and the number of terms 1 1 ; required the sum of the series. "
Daboll's Schoolmaster's Assistant: Improved and Enlarged, Being a Plain ... - Σελίδα 177
των Nathan Daboll - 1831 - 240 σελίδες
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Adams's New Arithmetic: Arithmetic, in which the Principles of Operating by ...

Daniel Adams - 1830 - 294 σελίδες
...) Hence, when the extremes and the number of terms are given, to find the sum of all the terms, — Multiply £ th'e sum of the extremes by the number of terms, and the product will be the answer. 10. If the extremes be 5 and 605, and the number of terms 151, what...

The Federal Calculator; Or, Scholar's Assistant : Containing the Most ...

Thomas Tucker Smiley - 1830 - 188 σελίδες
...first term ; the sum is the last term. 2. Add the first and last terms together, and multiply the sum by the number of terms ; and half the product will be the sum of all the terms. Case 2. When the first and last terms (or two extremes,) are given to find the...

A Short System of Practical Arithmetic: Compiled from the Best Authorities ...

William Kinne - 1831 - 248 σελίδες
...last term, and the number of terms being given, to find the sum of all the terms. RULE.—Multiply the sum of the extremes by the number of terms, and...answer. EXAMPLES. 1. The first term of an arithmetical progression is 1, the last term 21, the number of terms 11 ; required the sum of the series. 21 22...

Conkling's Arithmetic: The Young Arithmetician's Guide to a Knowledge of ...

Thomas Conkling (W.) - 1831 - 302 σελίδες
...the number of terms are given, to find the sum of all the terms, Rule. Multiply the sum of the two extremes, by the number of terms, and half the product will be the answer. Or, multiply the sum of the two extremes by half the number of terms. * In any series of numbers, in...

A New and Easy Introduction to the Mathematics: Containing. A system of ...

Ira Wanzer - 1831 - 408 σελίδες
...extremes and the number of terms being given, to find the sum of all the termsofthe progression. RULE. — Multiply the sum of the extremes by the number of terms, and half of the product will be the sum of the series : Or, multiply one of those factors by half of the other,...

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

Roswell Chamberlain Smith - 1831 - 286 σελίδες
...Hence, when the extremes, and the number of terms are given, to find the sum of all the terms ; — Multiply £ the sum of the extremes by the number of terms, and the product will be the answer. 10. If the extremes be 3 and 373, and the number of terms 40, what...

The Tutor's Assistant: Being a Compendium of Practical Arithmetic, for the ...

Francis Walkingame - 1833 - 204 σελίδες
...1), and i=^nz. Case 1. The I wo extremes, and the number of terms being given, loßnd ihe sum. RULE. Multiply the sum of the extremes by the number of terms, and half the product will be the answer.* (1) How many strokes does the hammer of a clock strike in 12 hours ft (2) A man bought 17 yards of...

Adam's New Arithmetic: Arithmetic, in which the Principles of Operating by ...

Daniel Adams - 1833 - 268 σελίδες
...) Hence, when the extremes and the member of terms are given, to find the sum of all the terms, — Multiply £ the sum of the extremes by the number of terms, and the product will be the answer. 10. If the extremes be 5 and 6OS, ?nd the number of terms 151, what...

Arithmetic Simplified in Three Parts

Catharine Esther Beecher - 1833 - 296 σελίδες
...the following rule ; When the extremes and number of terms are given, to find the sum of the terms, Multiply the sum of the extremes by the number of terms, and divide the product by 2. 2. The first term of a series is 1, the last term 29, and the number of terms...

The Teachers' Assistant: Or a System of Practical Arithmetic

Stephen Pike - 1835 - 210 σελίδες
...difference, and to the product add the first ,erm, the sum is fhe. last term. 2. Multiply the sum of the two extremes by the number of terms, and half the product will be the sum of all the terms. EXAHPLES. 1. The first term of a certain series in arithmetical progression is...




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