Question: The sequence { fn } is defined recursively as follows: f 1 = 7 , and fn = ( fn 1 ) 3 , for

The sequence {fn} is defined recursively as follows:
f1=7, and fn =(fn1)3, for n 2.
Suppose that the following theorem is proven by induction:
Theorem: For any positive integer n, fn=7(3n1).
The proof of the induction step starts out as:
For k 1, we will assume that A and will prove B.
What are the correct expressions for A and B?
A:fk =(fk1)3.
B:fk+1=7(3k)
A:fk =7(3k1).
B:fk+1=7(3k)
A:fk =7(3k1).
B:fk+1=(fk)3
A:fk=(fk1)3.
B:fk+1=(fk)3

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