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Which of the numbers A=2^35 and B=(2^34+2^33+2^32+...+2^0) is larger? ​

Which of the numbers A=2^35 and B=(2^34+2^33+2^32+...+2^0) is larger?
 

Grade:12th pass

1 Answers

Vikas TU
14149 Points
4 years ago
B = (2^34+2^33+2^32+...+2^0) 
B is in geometric movement. 
Aggregate of n terms in geometric movement is a[ (r^n - 1 )/(r-1) ] 
Here r=2 , a=1 and n=25 
Substituting the qualities in the above equation 
1 [ (2^35 – 1)/(2-1) ] 
2^35 – 1 
Henceforth A=2^35 is more prominent than B 

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