Evaluate sum please help

posted by Crystal

Evaluate the sum
∑3 =0 (-1)k × 2k-1/2k-1
6

  1. Steve

    surely (2k-1)/(2k-1) = 1

    So, the sum is

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

Respond to this Question

First Name

Your Answer

Similar Questions

  1. 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 (3i/n)^3*(3/n) …
  2. math

    i need some serious help with limits in pre-calc. here are a few questions that i really do not understand. 1. Evaluate: lim (3x^3-2x^2+5) x--> -1 2. Evaluate: lim [ln(4x+1) x-->2 3. Evaluate: lim[cos(pi x/3)] x-->2 4. Evaluate: …
  3. Probability

    1. When two fair dice are tossed, what is the probability of a sum of 4 or a sum of 8?
  4. Probability NEED HELP

    1. When two fair dice are tossed, what is the probability of a sum of 4 or a sum of 8?
  5. 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 a1=6 …
  6. 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 pairs …
  7. Calculus

    Evaluate each telescoping sum: 1) Sum from i = 1 to 100 of (5^i - 5^(i-1)). I know that I could apply the (n(n+1))/2 summation rule to the 5^i part of the question and then plug in 100, but I am unsure what to do for the second half …
  8. Calculus

    Evaluate using the sum of a finite geometric series: The sum of 2^i on the range from i = 1 to n. Please Help! I don't know how to make the exponent in 2^i = to i-1!
  9. Calculus

    Evaluate the Riemann sum for (x) = x3 − 6x, for 0 ≤ x ≤ 3 with six subintervals, taking the sample points, xi, to be the right endpoint of each interval and please explain, using a graph of f(x), what the Riemann …
  10. Math. Need help

    1.if g=5 and k=1, evaluate 9+gk a. 13 b. 14 c. 15 d. 16 2.Evaluate a-b^2/b if a = 10 and b = 2. a. 1 b. 3 c. 8 d. 32 3.Evaluate 3xy^2 - y if x = 2 and y = 5. a. 26 b. 30 c. 120 d. 145 4.Evaluate 2d + d^2/3 if d = 6. a. 4 b. 12 c. 14 …

More Similar Questions