math

hi
i startted the problem below by writing a sigma notation
of
sigma[(2^(n+1))/((n+1)!)]

QUESTION:

how do i find the sum of 2+(4/2!)+(8/3!)+(16/4!)+...

was my attempt wrong, or how do i go from here? thank you!

  1. 👍 0
  2. 👎 0
  3. 👁 183
  1. Express the individual elements of each term in terms of i.
    For the 3rd term, i=3, then
    8/3!=2*³/3! = 2³/i!
    Verify with another term:
    for i=4,
    2^i/i!=16/4! = 4th term, OK
    Check the first term (which does not have the same form), i=1
    2^1/1! = 2/1 = 2 OK

    So the sum would be:
    Σ2^i /i! for i=1 to ∞

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. math

    rewrite the series in sigma notation 4+16+64+...+256+1024

  2. Math

    How do I use the sigma notation to express the series : 1+5+25+125+625+3125?

  3. Calculus

    Express the following in Sigma notation 2+8+18+32+50+72

  4. Calculus

    Express the following in Sigma notation 2+8+18+32+50+72

  1. Math

    Write 5+7+9+11+13+15+17 in sigma notation.

  2. Algebra 2

    Evaluate 20(0.5)^(n-1) when n= 3 to 12. Use sigma notation .

  3. Math

    Exprees each series using sigma notation. 3+6+9+12+15

  4. math

    write the following in a sigma notation 3/32+3/16+3/8+...+12288 so far ive gotten that a=3/32 and r=2/1 can you please help me further

  1. Statistics

    Is a sampling distribution always the same as the curve for a null hypothesis? How does the power of a z test change when sigma increases? Assuming that they are caused solely by chance, sampling distributions will approximate a

  2. Chemistry

    How many pi bonds and sigma bonds are in ritalin. I counted 4 pi bonds(double bonds), and 18 sigma bonds(single bonds> I want to make sure I didn't miss count anything.

  3. Physics

    A spherical shell of radius R carries a uniform surface charge density (charge per unit area) \sigma. The center of the sphere is at the origin and the shell rotates with angular velocity \omega (in rad/sec) around the z-axis (z=0

  4. Calculus

    Express the sum using sigma notation 1+ 5/6+ 6/8+ 7/10 + 8/12

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