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Determine the recursive formula for the sequence 10, -30, 90, -270, ...

User Arcones
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1 Answer

5 votes

Answer:

y = 10 * (-3)^x

Explanation:

Let's divide this by 10, so y=10a,

a = 1, -3, 9, -27

It looks like there's an alternating plus and minus, which can be dealt with using a = (-1)^b. Now,

b = 1, 3, 9, 27

this is the powers of 3! the equation b=3^x should satisfy this!

Now we can put our answers together:
y = 10*(-1)^(3^x)

y = 10 * (-3)^x

User Ravindra Mijar
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3.7k points