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Consider the sequence defined by f_n = 2^{n} , which begins 1, 2, 4, 8, 16, 3...

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Consider the sequence defined by $f_n = 2^{n}$ f_n = 2^{n}, which begins 1, 2, 4, 8, 16, 32...

Which of the following is a correct recursive definition of this sequence?

$f_1 = 1, f_n = f_{n-1} \times 2$ f_1 = 1, f_n = f_{n-1} \times 2

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$f_1 = 1, f_n = (n-1) \times 2$ f_1 = 1, f_n = (n-1) \times 2

$f_1 = 1, f_n = 2^{f_{n-1}} \times 2$ f_1 = 1, f_n = 2^{f_{n-1}} \times 2

$f_1 = 1, f_n = 2^{n-1} \times 2$ f_1 = 1, f_n = 2^{n-1} \times 2

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