Posted by **Abhishek Ranjan** on Sunday, June 30, 2013 at 1:36am.

A sequence {ai}is defined by the recurrence relation an=40−4an−1 with a0=−4. There exists real valued constants r,s and t such that ai=r⋅si+t for all non-negative integers i. Determine r2+s2+t2.

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