SOLUTION: find the exact value of the indicated term of each sequence.( show the formula and work) 4,-12,36,-108,...find a15

Algebra ->  Algebra  -> Sequences-and-series -> SOLUTION: find the exact value of the indicated term of each sequence.( show the formula and work) 4,-12,36,-108,...find a15      Log On

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Question 605844: find the exact value of the indicated term of each sequence.( show the formula and work)
4,-12,36,-108,...find a15

Answer by htmentor(789) About Me  (Show Source):
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find the exact value of the indicated term of each sequence.( show the formula and work)
4,-12,36,-108,...find a15
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This is a geometric sequence with common ratio = -12/4 = -3
The nth term of a geometric sequence is a(n) = a*r^(n-1), where a = the 1st term
So a(15) = 4*(-3)^14 = 19131876