InterviewSolution
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InterviewSolution
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If `fa n dg`are two functions defined on `N ,`such that `f(n)-{2n-1ifni se v e n2n+2ifni sod d`and `g(n)=f(n)+f(n+1)dot`Then range of `g`is`{m in N : m=`multiple of 4`}``{`set of even natural numbers`}``{m in N : m=4k+3,k`is a naturalnumber`{m in N : m=`multiple of 3 ormultiple of 4`}`A. { m `in` N : m = multiple of 4}B. { set of even natural numbers}C. {m `in` N : m = 4k + 3, k is a natural number}D. {m `in` N : m = multiple of 3 or multiple of 4} |
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Answer» Correct Answer - C `g(n)=f(n)+f(n+1)` If n is even, `n+1` is odd. `therefore" "g(n)=2n-12(n+1)+2=4n+3` If n is odd, `n+1` is even. `therefore" "g(n)=2n+2+2(n+1)-1=4n+3.` |
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