Evaluate sum please help

Evaluate the sum
∑3 =0 (-1)k × 2k-1/2k-1

asked by Crystal
  1. surely (2k-1)/(2k-1) = 1

    So, the sum is

    ∑ (-1)^k = (-1)^3 + (-1)^4 + (-1)^5 + (-1)^6 = -1+1-1+1 = 0

    posted by Steve

Respond to this Question

First Name

Your Response

Similar Questions

  1. statistics

    I'm trying to work through the proof for SST = SSM + SSE MEAN = ∑(X)/N SST = ∑((x - MEAN)^2) = ∑(x^2 - 2 * x1 * MEAN + MEAN^2) = ∑(x^2) - 2 * MEAN * ∑(x) + N * MEAN^2 = ∑(x^2) - 2 *
  2. Math

    ∑(x+y) c. ∑(x+∑(y)) d. ∑x+ ∑y e. ∑(x)+ ∑(y)* what do each of these mean? what's the differences?
  3. Maths Please Help

    Let A=a1,a2,…,ak and B=b1,b2,…,bj be sequences of positive integers such that a1≥a2≥⋯ak≥1, b1≥b2≥⋯bj≥1, ∑i=1k ai≤6, and ∑j i=1 bi≤6. For how many ordered
  4. Calculus

    Find a series ∑a_n for which ∑(a_n)^2 converges but ∑|a_n| diverges
  5. Calculus 2

    I need help in solving an initial-value problem and a few series problems (Especially on #45 & #46). I don't really understand how to do the series problems...majority of the time. An explanation would be great as well. Thank you
  6. Algebra

    I have a few problems I need some help with. The first is Evaluate the sum. 1. There is an E like symbol on the top is 10 on the bottom n=1 and to the right (7-2n) 2. The next question is find a10 for an arithmetic sequence with
  7. calculus

    find the sum ∑(n/(n+1)!) from n=1 to infinity
  8. Stats

    Can you tell me what ∑xy means? Like is in the sum of all x times y or what?
  9. Math - Mathematical Induction

    3. Prove by induction that∑_(r=1)^n▒〖r(r+4)=1/6 n(n+1)(2n+13)〗. 5. It is given that u_1=1 and u_(n+1)=3u_n+2n-2 where n is a positive integer. Prove, by induction, that u_n=3^n/2-n+1/2. 14. The rth term
  10. Calculus

    Show that the sum of the series ∑n(p^n) from n=1 to infinity (where 0<p<1) is S=p/(1-p)^2

More Similar Questions