Ask questions and get helpful answers.

Insert the geometric means.

-1,_,-125,_,-3125

  1. 👍
  2. 👎
  3. 👁
  4. ℹ️
  5. 🚩

2 answers

  1. sorry, you don't have a constant ratio
    125/1 ≠ 3125/125

    However, the sequence could have r=±5, if the first term were -5 instead of -1.

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩
  2. x^2 = (-1)(-125) = 125
    x = ±5√5

    since -1 is your first term, ±5√5 also becomes the r value .

    y^2 = (-125)(-3125) = 390625
    y = √390625 = 625

    your GP
    if r = +√125
    the sequence is -1, -√125, - 125, -125√125, - 15625
    if r = -5√5
    the sequence is -1, +√125, - 125, +125√125, - 15625

    something is wrong here.
    I was expecting -3125 , as was stated in your problem
    If a, b, c, form a geometric sequence,
    then b^2 = ac, that is the square of any term must equal the product
    of the terms on either side of it

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩

Answer this Question

Related Questions

Still need help?

You can ask a new question or browse existing questions.