The number of trees per acre N is approximated by the model N (d)=68 (e-kd), for 5 f d f 40, where d is the average diameter of the trees(in inches)three feet above the ground.   1.  Determine the value of k given that there are 27 trees per acre when the average diameter three feet above the ground is 10 inches.  Give your answer exact and then to three decimal places .  Show how you arrived at your answer.   2.  Eventually how many trees are there per acre as the diameter of the trees continues to increase.  Explain your reasoning.   3.  What is the average diameterof the trees if there are 21 trees per acre?  Give your answer exact and then to three decimal places.  Show how you arrived at your answer.

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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.