[" and "b_(n)=1-a_(n)" ,then find the minin "],[qquad -ic(ul(n+1))(2^(n+1)-n-2)]

A sequence is defined as follows : a_(1)=3, a_(n)=2a_(n-1)+1 , where n gt 1 . Where n gt 1 . Find (a_(n+1))/(a_(n)) for n = 1, 2, 3.

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, 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)

Find a_(1),a_(2),a_(3) if the n^(th) term is given by a_(n)=(n-1)(n-2)(3+n)

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)

The fibonacct sequence is defined by 1=a_(1) = a_(2) and a_(n-1) + a_( n-1) , n gt 1 Find (a_(n+1))/(a_(n)) " for " n =1 ,2,34,5,

Let a sequence be defined by a_(1)=1,a_(2)=1 and a_(n)=a_(n-1)+a_(n-2) for all n>2, Find (a_(n+1))/(a_(n)) for n=1,2,3,4

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)

Let (:a_(n):) be a sequence given by a_(n+1)=3a_(n)-2*a_(n-1) and a_(0)=2,a_(1)=3 then the value of sum_(n=1)^(oo)(1)/(a_(n)-1) equals (A) 1 (B) (1)/(2) (C) 2 D) 4