If `(1+i)/(1+2^2i)xx(1+3^2i)/(1+4^2i)xx.......xx(1+(2n-1)^2i)/(1+(2n)^2i)=(a+ib)/(c+id)` then show that `2/17xx82/257xx....xx(1+(2n-1)^4)/(1+(2n)^4)=(a^2+b^2)/(c^2+d^2)`

Given that (1 + i)/(1 + 2^(2)i) xx (1 + 3^(2) i)/(1 + 4^(2) i) xx….xx (1 + (2n-1)^(2)i)/(1+(2n)^(2)i)= (a + bi)/(c+di) , show that (2)/(17) xx (82)/(257) xx ….xx ((2n-1)^(4) + 1)/((2n)^(4) + 1) = (a^(2) + b^(2))/(c^(2) + d^(2))

If (1+i)(1+2i)(1+3i)1+m)=(x+i y) , then show that 2xx5xx10xxxx(1+n^2)=x^2+y^2dot

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

If (1+i)(1+2i)(1+3i)...(1+ni)=a+ib then 2xx5xx10xx...(1+n^(2))=

If (1+i)(1+2i)(1+3i)....(1+ni)=a+ib then 2xx5xx10xx....xx(1+n^(2))=...

If (1+i)(2+i)(3+i)………(n+i)=a+ib then show that 2.5.10……….(n^2+1)=a^2+b^2

If (1+i) (1+2i) (1+3i) ,…(1+ni) =a+ib then the value of 2xx5 xx10xx…xx(1+ n^(2)) is-

Find the sum (1^4)/(1xx3)+(2^4)/(3xx5)+(3^4)/(5xx7)+......+(n^4)/((2n-1)(2n+1))

Find the sum (1^4)/(1xx3)+(2^4)/(3xx5)+(3^4)/(5xx7)+......+(n^4)/((2n-1)(2n+1))

Show that (1+ 2i)/(3+4i) xx (1-2i)/(3-4i) is real