SOLUTION: What is the 10th term of the geometric sequence x^6, -4x^8, 16x^10?

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Question 935674: What is the 10th term of the geometric sequence x^6, -4x^8, 16x^10?
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39621) About Me  (Show Source):
You can put this solution on YOUR website!
Ratio?
%2816x%5E10%29%2F%28-4x%5E8%29=-4x%5E2
'
%28-4x%5E8%29%2F%28x%5E6%29=-4x%5E2


General term, x%5E6%28r%5E%28n-1%29%29
Tenth term and using the found ratio,
x%5E6%28-4x%5E2%29%5E%2810-1%29
x%5E2%28-4x%5E2%29%5E9
-262144x%5E2%28x%5E18%29
highlight%28-262144%2Ax%5E20%29

Answer by MathTherapy(10555) About Me  (Show Source):
You can put this solution on YOUR website!

What is the 10th term of the geometric sequence x^6, -4x^8, 16x^10?
10th term, or highlight_green%28a%5B10%5D+=+-+262144x%5E24%29     

You can do the check!! 

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