[A] Question 6: Intermediate Algebra

Algebra Level 3

Some might find this familiar.

Given that \({ x }_{ n+1 }={ x }_{ n-1 }^{ 2 }-n{ x }_{ n }\), \({ x }_{ 0 }=3,\quad { x }_{ 1 }=4\),

find \({ x }_{ 982 }\).

Extra:

Find the general term for \({ x }_{ n }\).

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