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29 September, 05:11

What is the 8th for the geometric sequence 6,561; -2,187; 729; -243; ...

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  1. 29 September, 06:04
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    1st let's calculate r the common ratio:

    r = (-2187) / (6561) = (729) / (-2187) = - 1/3

    Value of nth term = a₁. rⁿ⁻¹, where a₁ = 1st term and n, the rank

    Value of nth term = 6561r⁸ (⁻¹) = 6561. (-1/3) 7

    Value of nth term = - 3
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