[" If "2^(2n-3)=2048," then "(4n+3n^(2))=],[" (a) "175],[" (c) "125]

If S_(3n)=2S_n then find the value of S_(4n)/S_(2n)

Let Delta_(a)=|{:((a-1),n,6),((a-1)^(2), 2n^(2),4n-2),((a-1)^(3),3n^(3),3n^(2)-3n):}| the value of sum_(a=1)^(n)Delta_(a) is

Let Delta_(a)=|{:((a-1),n,6),((a-1)^(2), 2n^(2),4n-2),((a-1)^(3),3n^(3),3n^(2)-3n):}| the value of sum_(a=1)^(n)Delta_(a) is

Let Delta_(a)=|{:((a-1),n,6),((a-1)^(2), 2n^(2),4n-2),((a-1)^(3),3n^(3),3n^(2)-3n):}| the value of sum_(a=1)^(n)Delta_(a) is

Find underset(n to oo)lim x_(n) if (a) x_(n)=(3n^(2)+5n+4)/(2+n^(2) (b) x_(n)=(5n^(3)+2n^(2)-3n+7)/(4n^(3)-2n+11) (c) x_(n)=(4n^(2)-4n+3)/(2n^(3)+3n+4) (d) x_(n)=(1^(2)+2^(2)+.....+n^(2))/(5n^(3)+n+1)

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)

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)