 | Samuel Webber - Mathematics - 1808 - 466 pages
...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... | |
 | Samuel Webber - Arithmetic - 1812 - 260 pages
...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... | |
 | Nicolas Pike - Arithmetic - 1822 - 536 pages
...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... | |
 | Zadock Thompson - Arithmetic - 1826 - 176 pages
...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... | |
 | Jeremiah Day - Algebra - 1827 - 352 pages
...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... | |
 | Jeremiah Day - Algebra - 1831 - 358 pages
...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,... | |
 | William Smyth - Algebra - 1833 - 288 pages
...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... | |
 | John Rose - Arithmetic - 1835 - 192 pages
...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... | |
 | Mathematics - 1836 - 488 pages
...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... | |
 | Benjamin Peirce - Algebra - 1837 - 300 pages
...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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Find the nth term, and the sum of n terms of the natural series of numbers 1, 2, 3, 4 . . . . Ans. 
