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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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Show that (1xx2^(2)+2xx3^(2)+...+n xx(n+1)^(2))/(1^(2)xx2+2^(2)xx3+...+n^(2)xx(n+1))=(3n+5)/(3n+1)

Show that ln(4xx12xx36xx108... upto n terms )=2n ln2+(n(n-1))/(2)ln3

Prove that 1^1xx2^2xx3^3xx...xn^nlt ((2n+1)/(3))^((n(+1))/(2)

Prove that 1^(1)xx2^(2)xx3^(3)xx xx n^(n)<=[(2n+1)/3]^(n(n+1)/2),n in N

if (9^nxx3^2xx3^n-(27)^n)/((3^3)^5xx2^3)=1/(27), find the value of n

Find the value of (3^(n)xx3^(2n+1))/(9^(n)xx3^(n-1)) .

Simiplify : (16xx2^(n+1)-4xx2^(n))/(16xx2^(n+2)-2xx2^(n+1))