3 years ago

What is the next three terms to a sequence -1/3125, 1/625, -1/125, 1/25

Mathematics

1 answer:

Natali [406]3 years ago

3 0

Answer:

-1/3125, 1/625, -1/125, 1/25 , -(1÷5) , 1 , -5

Step-by-step explanation:

1÷625÷(-1÷3 125) = -5

-1÷125÷(1÷625) = -5

(1÷25)÷(-1÷125) = -5

Then the common ratio of the geometric sequence is -5 then we keep multiplying by -5 each time to get the next term:

(1÷25)×(-5) = -(1÷5)

-(1÷5)×(-5) = 1

(1)×(-5) = -5

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