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Evaluate the infinite geometric series
0.4 + 0.036 + 0.0000324 + ...
Express your answer as a fraction with integer numerator and denominator.

 Feb 12, 2025

Best Answer 

 #1
avatar+1376 
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Evaluate the infinite geometric series    
0.4 + 0.036 + 0.0000324 + . . .     

 

0.036 / 0.4              =  0.09

0.0000324 / 0.036  =  0.0009    

 

Definition, from the internet:  In Maths, Geometric Progression is a type of sequence where each succeeding term is produced by multiplying each preceding term by a fixed number, which is called a common ratio.    

 

The ratios are not the same, so the series in question is not a geometric series.    

.    

 Feb 12, 2025
 #1
avatar+1376 
+1
Best Answer

 

Evaluate the infinite geometric series    
0.4 + 0.036 + 0.0000324 + . . .     

 

0.036 / 0.4              =  0.09

0.0000324 / 0.036  =  0.0009    

 

Definition, from the internet:  In Maths, Geometric Progression is a type of sequence where each succeeding term is produced by multiplying each preceding term by a fixed number, which is called a common ratio.    

 

The ratios are not the same, so the series in question is not a geometric series.    

.    

Bosco Feb 12, 2025

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