SOLUTION: What is the next term in the geometric sequence 16,-4,1,-1/4,.....I have the answer just need to know how to get the answer
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Question 222954: What is the next term in the geometric sequence 16,-4,1,-1/4,.....I have the answer just need to know how to get the answer
Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!
If a sequence is a geometric sequence then the ratios of all pairs of consecutive terms are the same:
Let's call the next term x. So must also be equal to . So all we need to do is solve:
Since this is a proportion (one fraction equals another), we can "cross multiply":
Divide both sides by 4 (or multiply both sides by 1/4):
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