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if f(n)=[1/2 +n/100], where[.] represents greatest integer function then find the value of summation n=1 to 151 f(n)?

if f(n)=[1/2 +n/100], where[.] represents greatest integer function then find the value of summation n=1 to 151 f(n)?

Grade:12

2 Answers

Anmol Dhingra
10 Points
7 years ago

upto 50 terms sum will be zero.Afterward from 50 to 149 terms 2550 and for 150 151 add 4.Ans-2550+4=2554 

naga Vishnu
26 Points
7 years ago

 From n=1 to n=49  f(n)=0

 From n=50 to n=149  f(n)=1

 For n=150 & 151  f(n)=2

                 So Sum of all these terms = (49 x 0) + (100 x 1) + (2 x 2)

                                                      = 104

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