3 years ago

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

Mathematics

1 answer:

diamong [38]3 years ago

8 0

9514 1404 393

Answer:

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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