SOLUTION: why does the sum of an infinite geometric sequence not exist if the constant ratio is greater than or equal to one?
Algebra.Com
Question 733216: why does the sum of an infinite geometric sequence not exist if the constant ratio is greater than or equal to one?
Answer by sachi(548) (Show Source): You can put this solution on YOUR website!
the sum of an infinite geometric sequence =a{1-r^(n+1)}/(1-r) when r<1
=a{r^(n+1)-1}/(r-1) when r>1
but when r=1 the the denominator becomes Zero & the sum will be indeterminant
so the sum of an infinite geometric sequ does not exist if the constant ratio is equal to one not >1
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