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MANOJ KUMAR Grade: 12
        

FIND THE VALUE OF [1/2]+[1/2+1/1000]+...........[1/2+2946/1000]


[.] denotes for GIF......GREATEST INTEGER FACTOR ?

6 years ago

Answers : (1)

AKASH GOYAL AskiitiansExpert-IITD
419 Points
										

Dear Manoj


We have to divide the series in parts



  1. [1/2]+[1/2 + 1/1000] +.................+ [1/2 + 499/1000]=0

  2. [1/2 + 500/1000]+...........+ [1/2 + 1499/1000] = 1000 * 1=1000

  3. [1/2 + 1500/1000]+...........+ [1/2 + 2499/1000] = 1000 * 2=2000

  4. [1/2 + 2500/1000]+...........+ [1/2 + 2946/1000] = 447 * 3=1341


adding all


0 + 1000 + 2000 + 1341 = 4341 Answer


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AKASH GOYAL
AskiitiansExpert-IITD

6 years ago
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