Ononot — Given an = 5a{n-1} - 6a{n-2} with a0 = 1, a1 = 5, define bn

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Recursionhard

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Given $a_n = 5a_{n-1} - 6a_{n-2}$ with $a_0 = 1, a_1 = 5$ , define $b_n = a_{2n}$ (extracting every second term). Which recurrence does $b_n$ satisfy?