4n^(2)-4a^(2)n+(a^(4)-b^(4))=0

nlt-1 {:("Quantity A","Quantity B"),(n^(2).n^(4),(n^(2))^(4)):}

If sum of two numbers a&b is n xx their G.M then show that (a)/(b)=(n+sqrt(n^(2)-4))/(n-sqrt(n^(2)-4))

The value of sum_(r=1)^n(sum_(p=0)^(r-1) ^nC_r ^rC_p 2^p) is equal to (a) 4^(n)-3^(n)+1 (b) 4^(n)-3^(n)-1 (c) 4^(n)-3^(n)+2 (d) 4^(n)-3^(n)

The value of sum_(r=1)^n(sum_(p=0)^(r-1) ^nC_r ^rC_p 2^p) is equal to (a) 4^(n)-3^(n)+1 (b) 4^(n)-3^(n)-1 (c) 4^(n)-3^(n)+2 (d) 4^(n)-3^(n)

Factories: m^(4) + 2m^(2) n ^(2) +n ^(4)

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)

Solve for n in 4^(n)+4^(n)+4^(n)+4^(n)=2^(2010)

Lt_(n rarr oo)[(1^(3))/(n^(4)+1^(4))+(2^(3))/(n^(4) + 2^(4))+....+(n^(3))/(n^(4)+n^(4))]

If x_(0)=sum_(n=1)^(oo)tan^(-1)((4n)/(n^(4)-2n^(2)+3)), then which of the following is/are correct