Search Images Maps Play YouTube News Gmail Drive More »
Sign in
Books Books
" The sum of any number of terms is equal to the sum of the extremes multiplied by half the number of terms. "
Elements of algebra, by A. Ingram and J. Trotter - Page 70
by Alexander Ingram - 1844
Full view - About this book

The National Arithmetic on the Inductive System: Combining the Analytic and ...

Benjamin Greenleaf - Arithmetic - 1858 - 458 pages
...the sum of the series must equal half the sum of the extremes multiplied by the number of terms, or the sum of the extremes multiplied by half the number of terms. RULE. — Multiply half the sum of the extremes by the number of terms. Or, Multiply the sum of the...
Full view - About this book

The National Arithmetic on the Inductive System: Combining the Analytic and ...

Benjamin Greenleaf - Arithmetic - 1858 - 456 pages
...the sum of the series must equal half the sum of the extremes multiplied by the number of terms, or the sum of the extremes multiplied by half the number of terms. RULE. — Multiply half the sum of the extremes lj the number of terms. Or, Multiply the sum of the...
Full view - About this book

University Algebra : Embracing a Logical Development of the Science with ...

Charles Davies - Algebra - 1860 - 332 pages
...Here, (a+l) is taken n times ; hence, 2s = n(a+l) ; or, s — %n(a+T) . . (2.) That is, the sum of the terms is equal to the sum of the extremes, multiplied by half the number of terms. Formula ( 2 ) can be placed under another form, by substituting for I its value taken from Formula...
Full view - About this book

Practical Arithmetic: Embracing the Science and Applications of Numbers

Charles Davies - Arithmetic - 1863 - 346 pages
...and 19, taken as many times as there are terms; and the given series is equal to half this sum, or to the sum of the extremes multiplied by half the number of terms. Rule. — Add the extremes together, and multiply their sum by half the number of terms ; the product...
Full view - About this book

Plane and spherical trigonometry. [With] Solutions of problems. [Followed by ...

Henry William Jeans - 1873 - 292 pages
...reduce arithmetical and algebraical expressions to logarithms* (22). (a) The logarithm of the product of any number of terms is equal to the sum of the logarithms of all the terms in the product : Thus, if x=ab, then log. a:=log. a + log. b (b) The logarithm...
Full view - About this book

Manual of Algebra

William Guy Peck - Algebra - 1875 - 348 pages
...(a + 1) is taken n times ; hence, 2s = n(a + 1); or, s = %n(a + I), . . (2) that is, the sum of the terms is equal to the sum of the extremes, multiplied by half the number of terms. Formula (2) can be placed under another form, by substituting for I its value taken from formula (1):...
Full view - About this book

Complete Arithmetic Combining Oral and Written Exercises

Indiana. State Board of Education - 1886 - 360 pages
...4 25 7 22 10 19 13 10 16 13 19 10 22 7 25 4 It follows, therefore, that the sum of a series equals the sum of the extremes multiplied by half the number of terms. 7. If the first term of a decreasing series is 100 and the common difference 3, what is the 32d term...
Full view - About this book

University Algebra: Embracing a Logical Development of the Science with ...

Charles Davies - Algebra - 1889 - 330 pages
...Here, (a+l) is taken n times; hence, 2s = n(a+l); or, s = $n(a + l) . . (2.) That is, the sum of the terms is equal to the sum of the extremes, multiplied by half the number of term*. Formula ( 2 ) can be placed under another form, by substituting for I its value taken from Formula...
Full view - About this book

Ancient Egyptian Science: Ancient Egyptian mathematics

Marshall Clagett - History - 1989 - 494 pages
...stated in the following rule: In any geometrical progression whose first term is equal to the ratio, the sum of any number of terms is equal to the sum of one less number of terms plus 1 multiplied by the ratio. This rule the author follows in the first...
Full view - About this book




  1. My library
  2. Help
  3. Advanced Book Search
  4. Download EPUB
  5. Download PDF