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F(5)=12 for a geometric sequence that is defined recursively by the formula f(n)=0. 3*f(n-1), where n is an integer and n>0. Find f(7) Round your answer to the nearest hundredth

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sqdancefan

Answer:

  f(7) = 1.08

Step-by-step explanation:

The recursive formula can be used with the given value to find the desired value.

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Given:

  f(n) = 0.3×f(n-1) . . . . . where f(5) = 12

The next term in the sequence is ...

  f(6) = 0.3×f(5) = 0.3(12) = 3.6

  f(7) = 0.3×f(6) = 0.3(3.6) = 1.08

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