hard · GMAT Quant

A sequence b_1, b_2, b_3, dots is defined by b_1 = 1, b_2 = 4, and b_n+2 = 4b_n+1 - 3b_n for all integers n ≥ 1.

How many of the first 90 terms, b_1, b_2, dots, b_90, are divisible by 3?

  1. 0
  2. 30
  3. 1
  4. 45
  5. 90

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