Series using mathematical induction (2)

Algebra Level 2

Sequence {an}\{a_n\} satisfies the following conditions: a3=63 , an+1=4an+3.a_3=63 \ , \ a_{n+1} = 4a_n + 3. Find the minimum positive integer nn that satisfies an+1>an+300.a_{n+1}>a_n +300.

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