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23 May, 08:08

What is the value of y in the sequence below?

2, y, 18,-54,162, ...

-6

-3

3

6

+5
Answers (1)
  1. 23 May, 11:01
    0
    -6

    Step-by-step explanation:

    2, y, 18,-54,162, ...

    This is a geometric sequence

    Common ratio r = T2/T1 = T3/T2

    y/2 = - 54/18

    Cross multiply

    y (18) = 2 (-54)

    18y = - 108

    y = - 108/18

    y = - 6
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