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" Hence, when we have giveh the first term, the common difference, and the number of terms, to find the last term, we have this RULE. "
Higher Arithmetic: Designed for the Use of High Schools, Academies, and ... - Σελίδα 212
των George Roberts Perkins - 1850 - 342 σελίδες
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Elements of Arithmetic, Theoretical and Practical: Adapted to the Use of ...

Ferdinand Rudolph Hassler - 1826 - 232 σελίδες
...given, to find the number of terms. When the first term is subtracted from the other term given, we have the product of the common difference into the number of terms less one as re J mainder; dividing this therefore by the common difference, we have the number of the term,...

An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - 1827 - 352 σελίδες
...^=a^- (n— l)Xd; that is, 425. In an arithmetical progression, the last term is equal to the first, + the product of the common difference into the number of terms less one. Any other term may be found in the same way. For the series may be made to stop at any term, and that...

An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - 1831 - 354 σελίδες
...z=a.\-(n — l) xd; that is, 425. In an arithmetical progression, the last term is equal to thefirst,-\- the product of the common difference into the number of terms less one. Any other term may be found in the same way. For the series may be made to stop at any term, and that...

The Common School Arithmetic: Prepared for the Use of Academies and Common ...

Charles Davies - 1833 - 284 σελίδες
...number of terms, and add the first term to the product. Hence we have CASE I. § 225. Having given the first term, the common difference, and the number of terms, to find the last term. RULE. Multiply the common difference by 1 less than the number of terms, and to the product add the...

The Tutor's Assistant: Being a Compendium of Practical Arithmetic, for the ...

Francis Walkingame - 1833 - 204 σελίδες
...tujind the less extreme. , RULE. Divide the sum by the number of terms : from the quotient subtract half the product of the common difference into the number of terms less 1 ; and the remainder will be the less extreme. (10) A man is to receive £360. at 12 several payments,...

The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

1836 - 488 σελίδες
...they form a descending series. In an arithmetical progression, the last term is equal to the first, + the product of the common difference into the number of terms less one. In an ascending series, the first term is the least, and the last the greatest. In a descending series,...

Mental and Practical Arithmetic

Charles Davies - 1838 - 292 σελίδες
...than the number of terms, and add the first term to the product. Hence, we have CASE I. Having given the first term, the common difference, and the number of terms, to find the last term. RULE. Multiply the common difference by 1 less than the number of terms, and to the product add the...

Higher Arithmetic: Designed for the Use of High Schools, Academies, and Colleges

George Roberts Perkins - 1841 - 274 σελίδες
...number of terms is 48, and the sum of all the terms is 38496. What is the last term ? CASE XI. Given the first term, the common difference, and the number of terms, to find the sum of all the terms. RULE. To twice the first term, add the product of the common difference into...

Arithmetic, designed for academies and schools, with answers

Charles DAVIES (LL.D.) - 1843 - 348 σελίδες
...than the number of terms, and add the first term to the product. Hence, we have CASE I. Having given the first term, the common difference, and the number of terms, to find the last term. RULE. Multiply the common difference by 1 less than the number of terms, and to the product add the...

The practical arithmetic

John Darby (teacher of mathematics.) - 1843 - 236 σελίδες
...to exceed the former by 2d. What will her first payment be ? Ans. 3d. PROBLEM V. — Given the least term, the common difference, and the number of terms to find the greatest term. RULE. — Multiply the number of terms by the common difference, to this product add...




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