 | George Roberts Perkins - 1851 - 356 σελίδες
...difference, and the number of terms, to find the last term, we have this RULE. To the first term add the product of the common difference into the number of terms, less one. EXAMPLES. 1. What is the 100th term of an arithmetical progression, whose first term is 2, and common difference... | |
 | Joseph Ray - 1848 - 250 σελίδες
...That is, the first term of an increasing arithmetical series is equal to the last term diminished by the product of the common difference into the number of terms less one. From the same formula, by transposing a, and dividing by n — 1, we find d= - T. n — 1 That is,... | |
 | Elias Loomis - 1855 - 356 σελίδες
...number of terms is n. Hence, The last term of an arithmetical progression is equal to the first, ± the product of the common difference into the number of terms less one. In what follows we shall consider the progression an increasing one, since all the results which we... | |
 | 1855 - 424 σελίδες
...and the swn wül be the uut term. Ï. To find the last term of a descending series. Fiotn the first term subtract the product of the common difference into the number of terms minia one, and tlte remainder гоМ be the lu.it term. NB Any other term may be found in the same... | |
 | Elias Loomis - 1856 - 280 σελίδες
...following RULE. The last term of. a decreasing arithmetical progression is equal to the first term, minus the product of the common difference into the number of terms less one. Examples. 1. If the first term of a decreasing progression is 80, the number of terms 15, and the common differ... | |
 | John Fair Stoddard - 1856 - 312 σελίδες
...term, the common difference and the number of terms, the last term is found by Adding the first term to the product of the common difference into the number of terms less one. 2. A man bought 25 acres of land, giving $2 for the first acre, $8 for the second, $14 for the third,... | |
 | Elias Loomis - 1862 - 312 σελίδες
...following RULE. The last term of an increasing' arithmetical progression is equal to the first term, plus the product of the common difference into the number of terms less one. This rule enables us to find any term of a series without being obliged to determine all those which... | |
 | Emerson Elbridge White, Henry Beadman Bryant - 1865 - 344 σελίδες
...terms. RULE. — Add to twice the first term, if the series be ascending ; otherwise subtract from it the product of the common difference into the number of terms, less one ; multiply the sum or difference by half the number of terms. K x azn p lea. 1. A laborer agreed to... | |
 | Joseph Ray - 1866 - 250 σελίδες
...that is, The first term of an increasing arithmetical series is equal to the last term diminished by the product of the common difference into the number of terms less one. From the same formula, we find t£= - =- ; that is, fl - I In any arithmetical series, the common difference... | |
 | James E. Ryan - 1877 - 212 σελίδες
...term = «-|-18x^, and l=a-\-(n— \)xd ; and in general the last term will equal the first term plus the product of the common difference into the number of terms less one. A body falls 16 feet in the first second of its descent, 48 feet in the second second, 80 feet in the... | |
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Add to the first term the product of the common difference into the number of terms less one, and the sum will be the last term. 
