A restaurant offers a catering service which costs $19.00 per person with a $86.25 service charge. For parties of 65 or more people, a group discount applies, and the cost is $14.00 per person along with the service charge dropping to $43.00. Write a piecewise-defined linear function which calculates the total cost T of the catering service which serves n people.

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Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.