What are three different formulas for the terms of the sequence {a_n}, where the first three terms of the sequence are 2, 3, and 6?
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1. Observe that 2x3=6
Define a_n = a_n-1 x a_n-2
2. Differences are 1 and 3. Continue with odd differences 5 7 9 etc.
Formula for nth term is n^2 -2n + 3
3.
2 = 2-0
3 = 4-1
6 = 8-2
nth term is 2^n - n + 1
Define a_n = a_n-1 x a_n-2
2. Differences are 1 and 3. Continue with odd differences 5 7 9 etc.
Formula for nth term is n^2 -2n + 3
3.
2 = 2-0
3 = 4-1
6 = 8-2
nth term is 2^n - n + 1