What is the value of y in the sequence below?

2,y,18,-54,
–6
–3
3
6

-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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