Show that (1xx2^2+2xx3^2+dotdotdot+nxx(n...

Show that `(1xx2^2+2xx3^2+dotdotdot+nxx(n+1)^2)/(1^2xx2+2^2xx3+dotdotdot+n^2xx(n+1))=(3n+5)/(3n+1)dot`

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2xx(16xx2^(n+1)-4xx2^(n))/(16xx2^(n+2)-2xx2^(n+2))=?

`1`

`(1)/(3)`

`2`

`(1)/(2)`

(16 xx 2^(n+1) - 4 xx 2^(n))/(16 xx 2^(n+2) -2 xx 2^(n+2)) equals

`1/4`

`-1/2`

`-1/4`

`1/2`

If P(n ) is the statement , ' ' (1)/( 1xx 2) + (1)/( 2xx 3) +(1)/( 2 xx 3) +(1)/( 3 xx 4) + ….. + (1)/(n(n +1))= (n)/(n +1) ' then P(n) is true for

`n gt 2`

` n in Z`

` n in N`

No value of n