Final answer:
The signal is likely a power signal as it involves an infinite series representation, indicating continuous periodic behavior over time. Definitive classification and power or energy calculation require more context and evaluation of the signal over its entire duration.
Step-by-step explanation:
To determine if the signal is a power signal, an energy signal, or none, we must evaluate the signal's attributes. The signal given appears to be a time-domain representation of a sinusoidal signal. This type of signal could be repetitive or non-repetitive, which influences whether it is a power or energy signal.
In general, the equation for the time-averaged power of a sinusoid is given by P = (1/2)A²ω²v, where A is the amplitude, ω is the angular frequency, and v is the propagation speed of the wave. If the signal is periodic and continuous over time, it is typically considered a power signal, meaning it dissipates power over time but does not contain finite energy per se. Hence, the energy would be infinite. An energy signal, on the other hand, would be a non-periodic signal that has a finite amount of energy over its entire duration.
The provided signal formula involves a sum over infinite terms which suggests it is an infinite series representation. This is another hint that the signal in question may be a power signal. However, without evaluating the entire signal over its infinite duration or having specific limits for evaluation, it's impossible to definitively determine the classification and calculate the power or energy. Additionally, the signal's sketch for the specified values of n requires further context to interpret the provided equation correctly. Without the proper context, it's not possible to proceed with the sketch or the power/energy calculation.