If `f: N -> N` is defined as `((2,n=3k),( 10-n, n = 3k + 1) ,(0, n = 3k +2) )``k in Z` then `{n in N : f(n) gt 2}` =

If f:N rarr N is defined as (2,n=3k.10-n,n=3k+1,10,n=3k+2,k in Z then {n in N:f(n)>2}=

A function f from integers to integers is defined as f(x)={n+3, n in od d n/2,n in e v e n suppose k in odd and f(f(f(k)))=27 . Then the sum of digits of k is__________

A function f from integers to integers is defined as f(x)={(n+3, n "is odd"),(n/2 , n "is even"):} . If k is an odd integer and f(f(f(k)))=27 then the sum of digits of k is

lim_ (n rarr oo) (1 ^ (k) + 2 ^ (k) + ... + n ^ (k)) / (k * n ^ (k + 1)), (n in N, k in I ^ (+))

If P (n) = 2 + 4 + 6+…+ 2n, n in N then P(k) = k (k +1) + 2 implies P (k +1 ) = (k +1 ) (k + 2)+ 2 AA k in N. So, we can conciude that P (n) = n (n +1) + 2 for

A function f from integers to integers is defined as f(n)={(n+3",",n in odd),(n//2 ",",n in even):} Suppose k in odd and f(f(f(k)))=27. Then the value of k is ________

Let A = { n in N | n^(2) le n + 10,000 } B = { 3k + 1 | k in N } and C = { 2 k |k in K } , then the sum of all the elements of the set A cap (B - C) is equal to ______

A function f:ZrarrZ is defined as f(n)={{:(n+1,n in " odd integer"),((n)/(2),n in "even integer"):} . If k in odd integer and f(f(f(k)))=33 , then the sum of the digits of k is

sum_ (n = 1) ^ (oo) (1) / ((n + 1) (n + 2) (n + 3) ........ (n + k))