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If a1 = 1, a2 = 1 and an = 2an - 1 + an - 2 n ≥ 3, n ∈ N, then find the first six terms of the sequence.
If a1 = 1, a2 = 1 and an = 2an - 1 + an - 2 n ≥ 3, n ∈ N, then find the first six terms of the sequence.
Solution :
First and second terms are 1.
an = 2an - 1 + an - 2
Hence the first 6 terms are 1, 1, 3, 7, 17, 41.