3 years ago

The following function defines a recessive sequence:

1 answer:

5 0

$f(0)=-4\\f(1)=12\\\\f(n)=-3f(n-1)-2f(n-2)\\\\f(2)=-3f(2-1)-2f(2-2)=-3f(1)-2f(0)=-3\cdot12-2\cdot(-4)\\=-36+8=-28\\\\f(3)=-3f(3-1)-2f(3-2)=-3f(2)-2f(1)=-3\cdot(-28)-2\cdot12\\=84-24=60\\\\Answer:A)\ -4;\ 12;-28;\ 60;...$

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