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makvit [3.9K]
3 years ago
7

​ f(1)=−8 f(n)=f(n−1)−3 ​ Find an explicit formula for f(n)

Mathematics
1 answer:
Nat2105 [25]3 years ago
4 0

Answer:

  f(n) = -8 -3(n -1)

Step-by-step explanation:

The given recursive formula tells you that the difference between two sequential terms is -3, and that the first term is -8. This is a formula for an arithmetic sequence, so we can use the explicit formula ...

  f(n) = a1 +d(n -1)

for a1 = -8 and d = -3.

  f(n) = -8 -3(n -1)

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