a_(1)=1,a_(n)=a_(n-1)+2,n>=2

Let the sequence a_(n) be defined as follows: a_(1)= 1, a_(n)= a_(n-1) + 2 " for " n ge 2 . Find first five terms and write corresponding series.

Let a_(1)=1,a_(n)=n(a_(n-1)+1 for n=2,3,... where P_(n)=(1+(1)/(a_(1)))(1+(1)/(a_(2)))(1+(1)/(a_(3)))...*(1+(1)/(a_(n))) then Lt_(n rarr oo)P_(n)=

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

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

Define a sequence (a_(n)) by a_(1)=5,a_(n)=a_(1)a_(2)…a_(n-1)+4 for ngt1 . Then lim_(nrarroo) (sqrt(a_(n)))/(a_(n-1))

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

The sequence a_(1),a_(2),a_(3),....... satisfies a_(1)=1,a_(2)=2 and a_(n+2)=(2)/(a)(n+1),n=1,2,3,