f(1)= 2f(1+1)= f(1).f(1)=2*2f(1+1+1)=f(2).f(1)=2*2*2...............f(1+1+1....+n times)= 2*2*2*....*n times = 1024 = 2*2*2*....10 timesn = 10 times ...if question would be "Given sum(f(x)) for x=1 to n is '1024' (not 1022) what is the value of n"Hence correct answer is E.
Aptitude
Topic: Functions
Cerain operation: f() is defined as a)f(1)=2 ;b) f(x+y)=f(x)f(y); for all positive x and y integers. Given sum(f(x)) for x=1 to n is 1022 what is the value of nA) 8B) 9C) 10D) 11E) None of the above.
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Cerain operation: f() is defined as a)f(1)=2 ;b) f(x+y)=f(x)f(y); for all positive x and y integers. Given sum(f(x)) for x=1 to n is 1022 what is the value of nA) 8B) 9C) 10D) 11E) None of the above.
In a function F is suchthat F(0)=2, F(1)=3, F(x+2)=2F(x)-F(x+1) for x>=0, then F(5) is equal toA. -7B. -3C. 17D. 13E. 15
The range of the function f(x)=x-2/2-x is... A) R B) R-{1} C) {-1} D) R-{-1} E) None
If f is defined for all real 'x' f(a + b)=f(ab), forall a,beR, f(-1/2)=-1/2. then find f(-311/515)A. -1/2B. -1C. -311/515D. -311E. None of these
Set A has 3 elements and set B has 4 elements. The number of injections that can be defined from A to B isA. 144B. 12C. 24D. 64E. 124
A high school had 1200 students enrolled in 2003 and 1500 students in 2006. If the student population P ; grows as a linear function of time t, where t is the number of years after 2003.