Grade 12th passIntegral Calculus
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?
1 Answer
Vikas TU
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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