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The 1st term of a geometric sequence is 25 and the 6th term is -1/125. What is the 3rd term?

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using the formulas for GP's

a = 25
ar^5 = -1/125
r^5 = (-1/125)(1/25) = -1/3125
r = (-1/3125)^(1/5) = -1/5

term3 = ar^2 = 25(-1/5)^2 = 1

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