Math (Number Theory)

the following two lines indicate another way to derive the formula for the sum of the first n integers by rearranging the terms in the sum. Fill in the details.


  1. 👍 0
  2. 👎 0
  3. 👁 258
  1. ...
    = (1+n)+(1+n)+(1+n)+... for a total of n/2 such binomials
    = (n/2)(n+1
    n(n+1)/2 or (1/2)(n)(n+1) or (n^2 + n)/2

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. English

    Which lines in the second stanza of the poem rhyme? A. lines 2 and 4 B. lines 5 and 7 C. lines 6 and 8 D. lines 7 and 8

  2. Geometry Check please

    Is the following definition of complementary angles reversible? If yes, write it as a true biconditional Complementary angles are two angles whose sum measures to 90 degrees - The statement is not reversible - Yes, if angles are

  3. AP Physics

    I'm trying to derive the formula v^2 = v0^2 + 2a(x-x0) were zeros are subscripts my book tells me to derive it this way use the definition of average velocity to derive a formula for x use the formula for average velocity when

  4. Calculus (integrals)

    Use the following formula for the sum of the cubes of the first integers to evaluate the limit in part (a). 1**3+2**3+...+n**3=((n(n+1))/2)**2 (a)lim n approaches infinity and the sum of n (top) and i=1 (bottom) with

  1. Trigonometry

    How could you evaluate tan (13pi/12) if you did not know the sum and difference formula for tangent? Would you use the sin and cos sum and difference formulas, and if so, can someone walk me through it? Thank you!!!

  2. sum geometric series

    what is the sum of geometric infinite series 3/2+ 9/16+ 27/128+ 81/1024=.... i know the formula is S=a/(1-r) my teacher, he usually transforms into a formula of the sum series and finds out a and r.but i don't how to do that. the

  3. Math

    The sum of multiples of 6 between 6 & 999? I got 83166, but my answer key says 82665.. Is my answer wrong? I used the term formula to find 166 terms multiples of 6, and then the sum formula to get 83166.

  4. math

    Find the slope of the lines that are (a) parallel lines (b) perpendicular lines to the lines passing through the pair of points (3, 4)(2,-1)

  1. Chemistry

    what is the molecular formula of a compound that is 54.5% C, 9.09% H, and 36.4% O. with a molecular weight of 176g/mol. A)C8H16O4 B)C4H8O2 C)C7H12O5 D)C9H18O3 Assume you have 100 g of the substance, then you have 54.5g of C, etc.

  2. geometry

    Martin drew a pair of perpendicular lines and a pair of parallel lines. Which of these statements best compares the pairs of perpendicular and parallel lines? Answer A: Perpendicular and parallel lines always have a common


    A consistent system of equations is a system with __________. the same line parallel lines intersecting lines and lines that have the same slope intersecting lines and lines that have the same equation

  4. Physics

    Derive a formula for the maximum speed v of a simple pendulum bob in terms of g, the length L, and the maximum angle of swing theta. I don't know how to go about this, I thought to use T = 2pi*sqr(L/g) and since F=MA, I divide A

You can view more similar questions or ask a new question.