| Alexander Malcolm - Algebra - 1730 - 627 pages
...fliewn that</x«— -i=s/— -л. and dividing equally by » — i, it is</= *. Ж *^~ I 2. For ti **multiply the Sum of the Extremes by the Number of Terms, and** take half of the Produo, it's the Sum : Thus *= *"HX*. E*a*,fk: - = 3./=iy.» = 7. then is /==6, —... | |
| Samuel Webber - Mathematics - 1801
...1'te frit term, the last term, and the number of terms behtg given, to find the sum of all the terms. **RULE.* Multiply the sum of the extremes by the number...and half the product will be the answer. EXAMPLES.** * Suppose another series of the same kind with the given one be placed under it in an inverse order... | |
| Samuel Webber - Mathematics - 1808
...Thejirst term, the last term, and the number of terms beinggiven, to jind the sum of all the terms, **Multiply the sum of the extremes by the number of...answer. EXAMPLES. 1. The first term of an arithmetical** progrrssion is 2, the last term 53, and the number of terms 18 ; required the sum of the series. *... | |
| Nicolas Pike - Algebra - 1808 - 480 pages
...term, the last term, and the number of terms being given, tojind the sum of all the terms. RuLE.f — **Multiply the sum of the extremes by the number of terms, and half the** producl will be the answer. EXAMPLES. • The difference of the firft and laft terms evidently (hews... | |
| Nicolas Pike - Arithmetic - 1809 - 300 pages
...term, and the number of terms being gi-oent to fnd the fum of all ths terms, RULE. Multiply the fum **of the extremes by the number of terms, and half the product will be the** anfwer. EXAMPLES. i. The extremes of an arithmetical feries are 3 and 39, and the number of terms i... | |
| Arithmetic - 1811 - 198 pages
...difference, and ,to the product add the first teim, the sum is the last term. 2. Multiply the sum of the two **extremes by the number of terms, and half the product will be the** sum qf all the terms. f EXAMPLES. •I. The first term 01 a certain series in anumicucoi progression... | |
| Samuel Webber - Arithmetic - 1812 - 248 pages
...Tke first term, the last term, and the number of terms being given, to find the sum of all the terms. **RULE.* / Multiply the sum of the extremes by the number of terms,** ami half the product will be die vinswer. EXAMPLES. 1. The first term of an Arithmetical Progression... | |
| Arithmetic - 1817 - 198 pages
...difference, and to the product add the first term, the sum is the last term. > 2. Multiply the sum ef the two **extremes by the number of terms, and half the product will be the** sum of all the terms. EXAMPLES. 1 . The first term of a certain series in arithmetical pro gression... | |
| Nathan Daboll - Arithmetic - 1818 - 240 pages
...variety of Problems ; but most of them are best understood by an algebraic process, nnd are here omitted. **RULE. Multiply the sum of the extremes by the number...^ . 1. The first term of an arithmetical series is** 3, the last term 23, and the number of terms 11 ; required the sum of the series. ,' • i • . 23... | |
| Arithmetic - 1818 - 251 pages
...The first term, the last term, and the number of terms being given, to find the sum of all the terms. **RULE. Multiply the sum of the extremes by the number...answer. EXAMPLES. 1. The first term of an arithmetical** progression is 5, the last term, 60, and the number of terms 12, required the sum of the series. 5... | |
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