If `a_(1)=3 and a_(n)=2a_(n-1)+5`, find `a_(4)`.

If a_(1)=5 and a_(n)=1+sqrt(a_(n-1)), find a_(3) .

A sequence is defined as follows : a_(a)=4, a_(n)=2a_(n-1)+1, ngt2 , find (a_(n+1))/(a_(n)) for n=1, 2, 3.

If a_(1)=2 and a_(n)=2a_(n-1)+5 for ngt1 , the value of sum_(r=2)^(5)a_(r) is

If a_(1)=3 and a_(n)=n+a_(n-1) , the sum of the first five term is

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_(0) = 0.4 and a_(n+1) = 2|a_(n)|-1 , then a_(5) =

If a_(1)=1, a_(2)=1, and a_(n)=a_(n-1)+a_(n-2) for n ge 3, find the first 7 terms of the sequence.

If a_(1)=1, a_(2)=5 and a_(n+2)=5a_(n+1)-6a_(n), n ge 1 , show by using mathematical induction that a_(n)=3^(n)-2^(n)

If a_(1)=1 and a_(n)+1=(4+3a_(n))/(3+2a_(n)),nge1"and if" lim_(ntooo) a_(n)=a,"then find the value of a."

Find a_(1) and a_(9) if a_(n) is given by a_(n) = (n^(2))/(n+1)