3 years ago

Find the first four terms of a sequence using the recursive definition. Please help

Mathematics

1 answer:

Ymorist [56]3 years ago

7 0

Answer:

2, 5, 9, 19

Step-by-step explanation:

Using the recursive formula f(n) = 2f(n - 2) + f(n - 1)

with f(1) = 2 and f(2) = 5

f(3) = 2f(3 - 2) + f(3 - 1)

= 2f(1) + f(2) = (2 × 2) + 5 = 4 + 5 = 9

f(4) = 2f(4 - 2) + f(4 - 1)

= 2f(2) + f(3) = (2 × 5) + 9 = 10 + 9 = 19

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