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( 6 % ) Messages are sent over a communications channel using two different signals. One signal requires 2 microseconds for transmittal, and the other

(6%) Messages are sent over a communications channel using two different signals. One signal requires 2 microseconds for transmittal, and the other signal requires 3 microseconds for transmittal. Each signal of a message is followed immediately by the next signal. (a)(3%) Find a recurrence relation for the number of different signals that can be sent in n microseconds. (b)(1%) What are the initial conditions of the recurrence relations in part (a)?(c)(2%) How many different messages can be sent in 12 microseconds?

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