" If "2^(2n-3)=2048" find "(4n+3n^(2))

If 2^(2n-3)=2048 , then (4n+3n^2)= _____.

If 2^(n+4)-2^(n+2)=3 Then find n

If (m + n)/(m + 3n) = (2)/(3) , find : (2n^(2))/(3m^(2) + mn) .

If ((2n)!)/(3!(2n-3)!) and (n!)/(2!(n-2)!) are in the ratio 44:3 find n.

If ((2n)!)/(3!(2n-3)!)a n d(n !)/(2!(n-2)!) are in the ratio 44 :3, find ndot

Find the sum of the n terms of the series whose nth term are given below : (i) 3n^(2)+2n (ii) 2n^(3)+4n+1 (iii) 2^(n)+3^(n) (iv) 3^(n)+n^(3)

Find the sum of the n terms of the series whose nth term are given below : (i) 3n^(2)+2n (ii) 2n^(3)+4n+1 (iii) 2^(n)+3^(n) (iv) 3^(n)+n^(3)

The sum of the series 1+4+3+6+5+8+ upto n term when n is an even number (n^(2)+n)/(4) 2.(n^(2)+3n)/(2) 3.(n^(2)+1)/(4) 4.(n(n-1))/(4)(n^(2)+3n)/(4)

Evaluate lim _( x to oo) ((1^(2) )/(n ^(3) +1 ^(3))+(2 ^(2))/(n ^(3) +2 ^(3)) + (3 ^(2))/(n ^(3)+ 3 ^(3))+ .... + (4)/(9n)).