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14 June, 17:53

A geometric sequence is shown below:

(blank) a0, - 11, 22, (blank) a1, 88, - 176.

A) What is the common ratio for this geometric sequence?

(blank) a2

B) What are the missing terms in the geometric sequence shown above?

+1
Answers (1)
  1. 14 June, 18:08
    0
    i)

    -2

    ii)

    a0 = 5.5

    a1 = - 44

    Step-by-step explanation:

    i)

    Given a geometric sequence, the common ratio is the ratio between any two adjacent values. In our case we have the following geometric sequence;

    a0, - 11, 22, a1, 88, - 176

    To find the common ratio we can simply divide 22 by - 11 or divide - 176 by 88;

    common ratio = 22 / (-11) = - 2

    ii)

    To find a0, we use the common ratio;

    (-11) / a0 = - 2

    a0 = (-11) / (-2)

    a0 = 5.5

    We do the same for a1;

    88/a1 = - 2

    a1 = 88 / (-2)

    a1 = - 44
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