AP EAMCET2004MathematicsFunctions
If f: N Z is defined by f(n)= array l 2 if n=3 k, k Z 10 if n=3 k+1, k Z 0 if n=3 k+2, k Z array . Then , n N: f(n)>2 is equal to
Options
- A3,6,4
- B1,4,7
- C4,7
- D7
Correct answer
B. 1,4,7
Step-by-step solution
We have, f(n)= cases 2 & if n=3 k, k Z 10 & if n=3 k+1, k Z 0 & if n=3 k+2, k Z cases For f(n)>2 , we take n=3 k+1, k Z aligned & n=1,4,7 & Required set n Z ; f(n)>2 & = 1,4,7 & aligned