Reach for the Summit - M-S3-A2

Algebra Level 4

A sequence {an}\{a_n\} is such that a1=1a_1=1, a2=3a_2=3, a3=6a_3=6, and  an=3an1an22an3\ a_n=3a_{n-1}-a_{n-2}-2a_{n-3} for n4n \ge 4.

If an>λ×2n2a_n>\lambda \times 2^{n-2} for all n4n \ge 4, find the maximum integer value of λ\lambda.


Reach for the Summit problem set - Mathematics

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