Exam 11: Sequences, Series, and Probability

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Prove the inequality for the indicated integer values of n . Prove the inequality for the indicated integer values of n .

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Find the fifth term without expanding. Find the fifth term without expanding.

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Find the twentieth term of the arithmetic sequence. 8, 0, -8

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Find the n th term of the geometric sequence. Find the n th term of the geometric sequence.

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The first two terms of the arithmetic sequence are given. Find the indicated term. The first two terms of the arithmetic sequence are given. Find the indicated term.    The first two terms of the arithmetic sequence are given. Find the indicated term.

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An ice cream store offers 33 flavors of ice cream. How many different triple-decker cones are possible? Note: Assume that different orders of the same flavors are not different cones. Thus a scoop of rocky road followed by two scoops of mint chocolate is the same as one scoop of mint chocolate followed by one scoop of rocky road followed by a second scoop of mint chocolate.

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