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find the value of this geometric progression 4 1/3 .4 1/9 .4 1/27 ….upto ∞

find the value of this geometric progression 
41/3.41/9.41/27….upto ∞

Grade:11

1 Answers

Vikas TU
14149 Points
7 years ago
41/3.41/9.41/27….upto ∞  can be written as=>
4^(1/3 + 1/9 + 1/27 + ----- + infinity)
=> 4^( (1/3)/(1-1/3)) 
=> 4^(1/2)
=> 2 is the answer.

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