 | Daniel Adams - 1838 - 276 σελίδες
...$ 1, &c. for 1 year) to a power denoted by (he nunr.ber of years; from this power subtract 1 j then divide the remainder by the ratio, less 1, and the quotient, multiplied bj the annuity, will be the amount. Note. The powers of the amounts, at 5 and 6 per cent up to the... | |
 | Daniel Adams - 1839 - 268 σελίδες
...first term, the ratio, and the number of terms, are given, to find the sum or amount of the series, — Raise the ratio to a power whose index is equal to...ratio, less 1, and the quotient, multiplied by the first term, will be the answer. Applying this rule to the last example, 3IZ = 531441, and 531441—... | |
 | Frederick Emerson - 1839 - 300 σελίδες
...performing them. PROBLEM I. The first term and the ratio being given, to find any other proposed term. RULE. Raise the ratio to a power, whose index is equal to the number of terms preceding the required term: then, if it be an increasing series, multiply the first term by this power... | |
 | Daniel Adams - 1840 - 278 σελίδες
...$ 1, &c. for 1 year) to a power denoted by the number of years ; from this power subtract 1 ; then divide the remainder by the ratio, less 1, and the quotient, multiplied bj the annuity, will be the amount. Note. The powers of the amounts, at 5 and 6 per cent up to the... | |
 | Charles Guilford Burnham - 1841 - 324 σελίδες
...the first term, the number of terms, and the ratio are given, tofind the sum of the series, Involve the ratio to a power whose index is equal to the number...ratio less 1, and the quotient, multiplied by the first term, will be the answer. ling the price of each succeeding yard. For how much did he sell the... | |
 | Benjamin Greenleaf - 1841 - 334 σελίδες
...ratio less 1, and the quotient will be the answer. Or, raise the ratio to a power, whose index shall be equal to the number of terms ; from which subtract 1 ; divide the remainder by the ratio less I, and the quotient, multiplied by the first term, will give the sum of the series. 10. If the first... | |
 | Daniel Adams - 1841 - 282 σελίδες
...$ 1, &c. for 1 year) to a power denoted by the numbtr of years ; from this power subtract 1 ; then divide the remainder by the ratio, less 1, and the quotient, multiplied bj the annuity, will be the amount. Note. The powers of the amounts, at 5 and 6 per cent up to the... | |
 | Osman Call - 1842 - 210 σελίδες
...GIVEN, TO FIND THE SUM OF THE SERIES. RULE. — Rnisi' the ratio to a power, the index of which shall be equal to the number of terms, from which subtract...ratio less 1, and the quotient, multiplied by the first term, will give the sum of the teries. 1. If the first term is 5, the ratio 3, and the number... | |
 | Osman Call - 1842 - 200 σελίδες
...GIVEN, TO FIND THE SUM OF THE SERIES. RULE. — Raise the ratio to a power, the index of which shall be equal to the number of terms, from which subtract 1 ; divide the remainder by the ratio less I, and the quotient, multiplied by the first term, will give the sum of tkt ieries. 1. If the first... | |
 | Charles Haynes Haswell - 1844 - 298 σελίδες
...the First Term, the Ratio, and the Number of Termt are given, to find the Sum of the Series. RULE.— Raise the ratio to a power whose index is equal to the number of terms, from which subtract 1 ; then divide the remuiudcr by the ratio less 1, and multiply the quotient by the first term. EXAMPLE.... | |
| |
Raise the ratio to a power whose index is equal to the number of terms, from which subtract 1 ; divide the remainder by the ratio, less 1, and the quotient, multiplied by the first term, will be the answer. 
