 | Benjamin Greenleaf - Algebra - 1864 - 336 pages
...as the series is an increasing or a decreasing one. Hence the following RULE. To the first term add the product of the common difference by the number of terms less one. EXAMPLES. 1. If the first term is 5, the common difference 3, and the number of terms 20, what is the... | |
 | Henry Bartlett Maglathlin - Arithmetic - 1869 - 332 pages
...the preceding case, the last term ll = 3-)-2 X 4, and subtracting the first term 3, we have 2 X 4, or the product of the common difference by the number of terms less one. Hence, to find the common difference, Divide the difference of the extremes by the number of terms... | |
 | Daniel Barnard Hagar - Algebra - 1873 - 278 pages
...Means. Theorem I. 346. The last term of an arithmetical progression is equal to the first term plus the product of the common difference by the number of terms less one. Let the terms of the progression be a, a+d, a+2d, a+3d, . . . The coefficient of d in the last term... | |
 | Henry Bartlett Maglathlin - Arithmetic - 1873 - 362 pages
...the preceding case, the last term llr=3-)-2 X 4, and subtracting the first term 3, we have 2 X 4, or the product of the common difference by the number of terms less one. Hence, to find the common difference, Divide the difference of the extremes by the number of terms... | |
 | Daniel W. Fish - Arithmetic - 1874 - 302 pages
...number of terms 9 ; what is the first term ? EULE. — I. If the given extreme is the less, add to it the product of the common difference by the number of terms less one. II. If the given extreme is the greater, subtract from it the product of the common difference by the... | |
 | Daniel W. Fish - Arithmetic - 1874 - 540 pages
...OPERATION. ANALYSIS.—The difference between •^Qg g . 19 — 5 — t£ the extremes is equal to the product of the common difference by the number of terms less one (829); hence the common difference is ff, or 5. 2. The extremes of a progression are 1 and 17, and... | |
 | Horatio Nelson Robinson - Arithmetic - 1875 - 462 pages
...the common difference ; and so on. In all cases the difference between the two extremes is equal to the product of the common difference by the number of terms less 1. Hence the RULE. Multiply the common difference by the number of terms less 1 , add the product to... | |
 | Edward Brooks - Arithmetic - 1876 - 588 pages
...plus twice the common difference, etc. ; hence we infer that the last term equals the first term plus the product of the common difference by the number of terms less one. In finding the sum of the terms we take a series, then write under this series the same series in an... | |
 | Samuel Mecutchen, George Mornton Sayre - Arithmetic - 1877 - 200 pages
...term is therefore equal to 27 less than the first, or 29 — 27 = 2. RULE. To the less extreme add the product of the common difference by the number of terms less one; or, subtract this product from the greater extreme; the result in either case will be the other extreme.... | |
 | Benjamin Greenleaf - Algebra - 1879 - 350 pages
...as the series is En inereasing or a deereasing one. Hence the following RULE. To the first term add the product of the common difference by the number of terms less one. EXAMPLES. 1. If the first term is 5, the common difference 3, and the number of terms 20, what is the... | |
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The points are used to show that some terms are left out of the expression, as it is impossible to express the whole until a particular... 
