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" ... terms, RULE. Multiply the sum of the extremes by the number of terms, and half the product will be the sum of the terms. EXAMPLES FOR PRACTICE. 2. If the extremes be 5 and 605, and the number of terms 151, what is the sum of the series? "
The Improved Arithmetic: Newly Arranged and Clearly Illustrated, Both ... - Σελίδα 290
των Daniel Parker - 1828 - 348 σελίδες
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The New Federal Calculator, Or, Scholar's Assistant: Containing the Most ...

Thomas Tucker Smiley - 1825 - 224 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 common...

Daboll's Schoolmaster's Assistant

Nathan Daboll - 1825 - 256 σελίδες
...them are best understood by an algebraic and are here omitted. ARVniMF.TICAL PllOGRESSFiON. I9S Ui LE. Multiply the sum of the extremes by the number of terms, and lialf the product will be the answer. EX \MPLES. 1. '["he first tenn of an arithmetical series is 5,...

The Youth's Assistant in Theoretick and Practical Arithmetic

Zadock Thompson - 1826 - 176 σελίδες
...the terms. Problem I. The first term, the last term, and the number of terms given, to find the sum of all the terms. RULE.* — Multiply the sum of the...number of terms, and half the product will be the answer. Examples. 1. The first term of an arithmetical progression is 1, the last term 21, and the...

Arithmetic: In which the Principles of Operating by Numbers are Analytically ...

Daniel Adams - 1848 - 322 σελίδες
...extremes of the series ; hence, rvhen the extremes and the number of terms are given to find the sum of the terms, RULE. Multiply the sum of the extremes...the product will be the sum of the terms. EXAMPLES FOR PRACTICE. 2. If the extremes be 5 and 605, and the number of terms 151, what is the sum of the...

The American Tutor's Assistant, Improved: Or, A Compendious System of ...

Zachariah Jess - 1827 - 226 σελίδες
...add the first term, the sum is the last term. Secondly, Multiply the sum of the first and last term by the number of terms, and half the product will be the sum of the series. EXAMPLES. 1. Bought 19 yards of shalloon, at 1 cent for the first yard, 3 cents for the second,...

An Elementary Treatise on Arithmetic, in Theory and Practice: Adapted to the ...

James Ryan - 1827 - 290 σελίδες
...PROBLEM If. — The extremes and the number of terms leing given, to find the sum of the series. 206. RULE. — Multiply the sum of the extremes by the number of terms, and take half the product. * Thereason of this operation will be manifest from the consideration, that...

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

Roswell Chamberlain Smith - 1827 - 216 σελίδες
...The first term, the last term, (ie the two extremes) and the number of terms given to find the sum of all the terms. RULE. — Multiply the sum of the extremes by half the num. Чег of terms, the product will be the answer. EXAMPLES. — How many times does a...

The Common School Manual: A Regular and Connected Course of Elementary ...

Montgomery Robert Bartlett - 1828 - 426 σελίδες
...term, the sum will be the last term. 2. Add the first and the last terms together, and multiply the sum by the number of terms, and half the product will be the sum of all the terms. Thus:— • (1) What is the last term, and the number of terms of an arithmetical progression...

Daboll's Schoolmaster's Assistant

Nathan Daboll - 1828 - 268 σελίδες
...Probkrns ; but must of them are best understood by an algebraic py^eest, Mu.' a.-e hare unritted. \ RULE. Multiply the sum of the extremes by the number of terms, and halt' the product will be the answer. EXAMPLE8. 1. The first term of an arithmetical series is 3, the...

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

Daniel Adams - 1828 - 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 5 and 605, and the number of terms 151, what...




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