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