According to the principle of mathematical induction. If \( P(k+1)= \) \( m^{(k+1)}+5 \) is true, then \(\ldots\)\(\ldots\) must be true?
Step-by-step Solution:
According to the principle of mathematical induction, if \( P(k+1) = m^{(k+1)} + 5 \) is true, then which of the following must also be true? \[\] The expression \( P(k+1) = m^{(k+1)} + 5 \) \(\implies\) that when traced back to ( P(k) ), it follows that \( P(k) = m^{(k)} + 5 \). \[\] \[\] Correct Option: (b)