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How do I solve this math question? 10 points best answer. Urgent!!?

Find the second term in a Geometric Sequence.

In which the 1st term = 9, the 3rd term = 4 and the common ratio is positive.

Thanks for the assistance.

3 Answers

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  • Matt
    Lv 7
    8 years ago
    Favorite Answer

    Let r be the common ratio. Then since the first term is 9, we know the second term is 9r, and the third term is 9r^2. But we are told that the third term is 4, so we have:

    9r^2 = 4

    r^2 = 4/9

    r = 2/3 (not -2/3, because we are told that the common ratio is positive)

    Since the second term is 9r, the second term must be 9(2/3), which is 6.

    Hope that helps :)

  • 8 years ago

    The common ratio is 2/3... As in two thirds.

    How did we find this? Well... We use this equation...

    9 / x / x = 4

    Which also means...

    9 (1/x) (1/x) = 4

    9/x^2 = 4

    x^2 = 4/9

    x=Squareroot(4/9)

    So 9 x 2/3 = 6

    The 2nd term is 6... Good luck!

    Source(s): School...
  • Anonymous
    4 years ago

    you should do it by utilizing your self i basically can help you respond to A 3x + 2y = 34 5x – 2y = 30 8x = sixty 4 x = 8 (a) {7x + 3y = 75 -a million*{2x + 3y = 30 5x = 40 5 x = 9 (h) 5 * {9x – 4y = sixty 3 -4 * {14x – 5y = 109 {45x – 20y = 567 {-56x + 20y = -436 -11x = 131 x = -131/11

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