Exam 11: Miscellaneous Topics

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Evaluate the expression Evaluate the expression

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Use the binomial theorem to expand the expression. ( 7 x - 6 y ) 3

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Find the sum of the infinite geometric sequence. Find the sum of the infinite geometric sequence.

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Evaluate the expression. Evaluate the expression.

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Evaluate the expression Evaluate the expression

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Find the sum of the first 8 terms of the geometric sequence 4, -20, 100, ...

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Use the binomial theorem to expand the expression. ( Use the binomial theorem to expand the expression. (   +   ) <sup>3 </sup> + Use the binomial theorem to expand the expression. (   +   ) <sup>3 </sup> ) 3

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Use the formula for the sum of a geometric sequence to solve the problem. After a sales clerk works six months, her employer will begin an annuity for her and will contribute $550 every six months to a fund that pays 6% annual interest. After she has been employed for three years, what will be the amount of the annuity? Round your answer to the nearest cent.

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In how many ways can we select a committee of three men and three women from a group composed of four men and five women?

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Find the sum of the first 5 terms of the geometric sequence 2, -4, 8, ...

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Write the first five terms of the geometric sequence with a = 5 and a fourth term of 135.

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Jeff must read 4 books from a reading list of 13. How many choices does he have?

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Find the 37th term of the arithmetic sequence with a = 8 and d = 12.

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Find the sum of each infinite geometric sequence. Find the sum of each infinite geometric sequence.

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Expand: ( Expand: (   -   ) <sup>4 </sup> - Expand: (   -   ) <sup>4 </sup> ) 4

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Find the Find the   term in the expansion of   . term in the expansion of Find the   term in the expansion of   . .

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Given an infinite sequence with a n = 4 n + 8, find a 31.

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Find a sample space for an experiment of rolling a dice.

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Find the sum of the first n terms of the following arithmetic sequence: 8, 17, 26, ... ; n = 25

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Find the tenth term of the geometric sequence with a = 5 and r = 2.

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