Consider the following recursively defined sequence. + 2*, for each integer k 2 2 - 1 = 1 Fill in the blanks to use iteration to guess an explicit formula for the sequence. f1 = 1 2 = 1 + 2 3 f3 ち+2 = 1 + 22 + 2 4 + 2 4 = 1 + 22 + 23 + 2 = Guess: 22 + 2° + 24 + ... + 27 f. = 1 + When Theorem 5.2.2 is used to simplify this expression, the result is - 1 - 2, = 2 - 1 and, when this expression is simplified, the result is f, - 3 for every integer n 21. 3. +

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