" 1."quad a_(n)=n(n+2)

The Fibonacci sequence is defined by 1 = a_(1) = a_(2) and a_(n) = a_(n - 1) + a_(n - 2),n gt 2 . Find a_(n + 1)/a_(n) , for n = 1, 2, 3, 4, 5,

Evaluate underset( n rarroo)("lim") ((a_(1) + 1)/( a_(1))) ((a_(2) +1)/(a_(2))) "......." ((a_(n) +1)/( a_(n))) where a_(1) 1 and a_(n) = n ( 1+ a_(n-1) ) AA n ge 2

The Fibonacci sequence is defined by 1=a_(1)=a_(2) and a_(n)=a_(n-1)+a_(n-2),n>2 Find (a_(n+1))/(a_(n)),f or n=5

If a_(1)=-1 and a_(n)=(a_(n-1))/(n+2) then the value of a_(4) is ____.

The Fibonacci sequence is defined by 1=a_(1)=a_(2) and a_(n)=a_(n-1)+a_(n-2),n>2 Find (a_(n+1))/(a_(n)) for n=1,2,3,4,5

The sequence a_(1),a_(2),a_(3),a_(4)...... satisfies a_(1)=1,a_(2)=2 and a_(n+2)=(2)/(a_(n+1))+a_(n),n=1,2,3... If 2^(lambda)a_(2012)=(2011!)/((1005!)^(2)) then lambda is equal to

If a_(1) = 2 and a_(n) - a_(n-1) = 2n (n ge 2) , find the value of a_(1) + a_(2) + a_(3)+…+a_(20) .

If a_(1) = 2 and a_(n) - a_(n-1) = 2n (n ge 2) , find the value of a_(1) + a_(2) + a_(3)+…+a_(20) .

Using mathematical induction, the numbers a_(n)'s are defined by, a_(0) =1, a_(n+1) = 3n^(2) + n+a_(n) ( n ge 0) . Then a_(n) =