Emma Jane made an error proving that 2 3 1 n is divisible by 8 (for n t1), using mathematical induction. Part of her proof is shown below. Step 2: Assume the result true for n=k 32k-1=8P where P is an integer Hence 32k=8P+1 Step 3: To prove the result is true for n=k+1 RTP:32(k+1)-1=8Q where Q is an integer. Line 1 LHS=32k+2-1 Line 2 =32k×32-1 =(8P+1)×32-1 (using the assumption) Line 3 =72P+1-1 Line 4 =8(9P) =8Q =RHS In which line did Emma Jane make an error? A) Line 1 B) Line 2 C) Line 3 D) Line 4
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