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" Find the nth term, and the sum of n terms of the natural series of numbers 1, 2, 3, 4 . . . . Ans. "
The elements of algebra - Página 309
por Andrew Bell (writer on mathematics.) - 1839
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Mathematics: Compiled from the Best Authors, and Intended to be ..., Volumen1

Samuel Webber - 1808 - 466 páginas
...given for it, is called the present worth. To find the amount of an Annuity at Simple Interest. RULE.* 1. Find the sum of the natural series of numbers 1, 2, 3, Sec. to the number of years less one. • DEM0NSTRATI0N. Whatever the time is, there is due upon the...
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A System of Arithmetic: Reprinted from the Mathematical Text-book

Samuel Webber - 1812 - 260 páginas
...given for it, is called the present worth. To find the amount of an Annuity at Simple Interest, RULE,* 1. Find the sum of the natural series of numbers 1, 2, 3, &c. to the number of years less one. * DEMONSTRATION. Whatever the tim« is, there is due upon the...
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A New and Complete System of Arithmetick: Composed for the Use of the ...

Nicolas Pike - 1822 - 536 páginas
...interest due OD each. CASE I. To^find tite amount of an annuity at Simple Interest. RULE. Multiply the sum of the natural series of numbers, 1, 2, 3, 4, &c. to the number ol years less 1, by the interest of the annuity for one year, and the product will...
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The Youth's Assistant in Theoretick and Practical Arithmetic

Zadock Thompson - 1826 - 176 páginas
...is called the present worth. Case I. To find the amount of an annuity at simple intereit. RULE.*— Find the sum of the natural series of numbers, 1, 2, 3, &c. to the number of years less 1 ; multiply this sum by one year's interest of the annuity, and the...
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An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - 1827 - 352 páginas
...THE TERMS IS EQUAL TO HALF THE SUM OF THE EXTREMES MULTIPLIED INTO THE NUMBER OF TERMS. Prob. What is the sum of the natural series of numbers 1, 2, 3, 4, 5, #e. up to 1000 ? Ans. s=^±fXn=l±l^0-0X 1000=500500. 2 2 If in the preceding equation, we substitute...
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An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - 1831 - 358 páginas
...THE TERMS IS EQUAL TO HALF THE SUM OF THE EXTREMES MULTIPLIED INTO THE NUMBER OF TERMS. Prob. What is the sum of the natural series of numbers 1, 2, 3, 4, 5, &c. up to 1000? Ans. s=^- x« = —^ - Xl000=500500. a -fz 1+1000 If in the preceding equation,...
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Elements of Algebra

William Smyth - 1833 - 288 páginas
...terms, when the first term, the last term and the number of the terms are given. EXAMPLES. 1. What is the sum of the natural series of numbers 1, 2, 3, 4, &c. up to 1000 ? 2. The last term in a progression by difference is 60, the first term 12, and the...
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Rose's New Arithmetic: An Explanatory and Practical Arithmetic, Adapted to ...

John Rose - 1835 - 192 páginas
...given for it is called the present worth. To find the amount of an annuity at simple interest. RTILE. 1. Find the sum of the natural series of numbers, 1, 2, 3, &c. to the number of years less one. 2. Multiply this sum by one year's interest of the annuity at...
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The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

1836 - 488 páginas
...8 — 1 7, 13, 19, 25, 31, 37, 43. Oneproblem and seven examples, under Art. 429. Problem. What is the sum of the natural series of numbers, 1, 2, 3, 4, 5, &c. up to 1000 ? By the formula under Art. 428, í=_2I_ x и. Substituting the [numbers which 2...
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An Elementary Treatise on Algebra: To which are Added Exponential Equations ...

Benjamin Peirce - 1837 - 300 páginas
...difference is 5, the number of terms 6, and the sum 321. Ans. The first term = 41, the last term = 66. 22. Find the sum of the natural series of numbers 1, 2, 3, &c. up to n terms. Ans. £ n (n -\- 1). 23. Find the sum of the natural series of numbers from 1 to...
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