Find the sequence of he numbers defined by `a_n={1/n ,w h e nni sod d1/n ,w h e nni se v e n`

Find the sequence of the numbers defined by a_(n)={{:(1/n,"when n is odd"),(-1/n,"when n is even"):}

Let f: NvecN be defined by f(n)={(n+1)/2, "if" n "i s o d d"n/2, "if "n "i s e v e n" for a l l n N} Find whether the function f is bijective.

Let f: Nuu{0}vecNuu{0} be defined by f{n+1,ifni se v e nn-1,ifni sod d Show that f is a bijection.

Each question is based on the following alphabet-series : A B C D E F G H I J K L M N O P Q R S T U V W X Y Z In the following letter sequence, how many n's are followed by m but not preceded by h ? a g r h t n m b e n m l b u v n m h er h n m g f e h n m e c n m w q a n m h l b

Let the sequence a_n be defined as follows : a_1=1,""""a_n=a_(n-1)+2 for ngeq2 . Find first five terms and write corresponding series.

If n is a whole number such that n+n=n ,\ t h e n\ n=? (a) 1 (b) 2 (c) 3 (d) none of these

There are n urns each continuous (n+1) balls such that the ithurn contains 'I' white balls and (n+1-i) red balls. Let u_(1) be the event of selecting ith urn, i=1,2,3……..n and W denotes the event of getting a white balls. If n is even and E dentes the event of choosing even numbered urn [P(u_(i))=(1)/(n)] , then the value of P(W//E) is

In isosceles triangles A B C ,| vec A B|=| vec B C|=8, a point E divides A B internally in the ratio 1:3, then find the angle between vec C Ea n d vec C A(w h e r e| vec C A|=12)dot

If o+ is an operation such that a+b={2a , w h e n a > b a+b , w h e n a