Let Sor S₁, S₂1 Sk 5o = 1 and s₁ = 2 (a) Use iteration to guess an explicit formula for the sequence by filling in the blanks below. S0 = 1 S₁ = 2 5₂ = 250 = 2.1 = 2 53 = 251 54 = S6 = = $5 = 253 57 = S8 = 25₂ 254 be a sequence defined recursively as follows. 25k - 2 for each integer k ≥ 2 255 256 = 2.2 = 2.2 = 2.2 = 2.2 = 2.2 = 2.2 2 2 2 2 A ---Select--- ✓ X X = 2 = 2 = 2 = 2 = 2 = 2 2 |N| 2 3 4 5 6 Guess: For every integer n ≥ 0, ---Select--- ✓ if n is odd if n is even. X X X

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