jamesdaddy jamesdaddy

09-08-2017
Mathematics

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What is the 7th term of the geometric sequence 4, -20, 100

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mreijepatmat mreijepatmat

09-08-2017

1st let's calculate r the common ratio:
r = (-20)/4 = (100/-20) = -5

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

Value of nth term = 4r⁽⁷⁻¹⁾ = 4.(-5)⁶

Value of nth term = 62,500

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