The given statement cannot be determined as true or false based on the given information.
To determine whether the statement is true or false, we need to apply the concept of absolute and conditional convergence of power series.
A power series is conditionally convergent if it converges but not absolutely, meaning that the series converges but the series of absolute values of its terms diverges.
On the other hand, a power series is divergent if it does not converge at all.
Given that the power series P cn(x − 3)n is conditionally convergent at x = 6, we cannot conclude anything about its convergence or divergence at x = -1 without further information.
Therefore, the given statement cannot be determined as true or false based on the given information.