If a sequence is defined recursively by f (0) = 2 and f (n+1) = - 2f (n) + 3 for n> or equal to 0, what is f (2) ?

Question

Jett Velazquez

Mathematics

24 August, 19:04

If a sequence is defined recursively by f (0) = 2 and f (n+1) = - 2f (n) + 3 for n> or equal to 0, what is f (2) ?

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Answers (1)

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Ryann Pollard · Answer 1

If you would like to know what is f (2), you can calculate this using the following steps:

f (0) = 2

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

f (1) = - 2 * f (0) + 3 = - 2 * 2 + 3 = - 4 + 3 = - 1

f (2) = - 2 * f (1) + 3 = - 2 * (-1) + 3 = 2 + 3 = 5

The correct result would be f (2) = 5.