3 years ago

Which formula can be used to describe the sequence? –81, 108, –144, 192, ...

Mathematics

1 answer:

ale4655 [162]3 years ago

8 0

Answer:

a(n) = -81(-4/3)^(n - 1)

Step-by-step explanation:

The first term is -81. From -81 we obtain the next term, 108, by multiplying -81 by -4/3. Note how (-4/3)(108) = -144 as anticipated.

Thus, the common ratio is -4/3.

The explicit function for this geometric series is

a(n) = -81(-4/3)^(n - 1)

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