Question

If a sequence us defined recursively by f(0)= 3 and f (n+1)= -f (n) +5 for n>_ 0 then f (2) is equal to?

Answer 1

F(1) = -f(0) +5 = -3 +5 = 2
f(2) = -f(1) +5 = -2 +5 = 3

f(2) = 3

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The sequence appears to alternate between 3 and 2.