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Leya [2.2K]
2 years ago
8

F(1)=2f(n+1) = f(n)+4What is f(10)?

Mathematics
1 answer:
diamong [38]2 years ago
8 0

9514 1404 393

Answer:

  38

Step-by-step explanation:

The recursion relation describes an arithmetic sequence with a first term of 2 and a common difference of 4. The explicit formula for the n-th term of the sequence is ...

  f(n) = f(1) +d(n -1) . . . . . for first term f(1) and difference d

  f(n) = 2 +4(n -1) = 4n -2

Then the 10th term is ...

  f(10) = 4(10) -2

  f(10) = 38

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