" II."a_(1)=3,a_(n)=3a_(n-1)+2" for all "n>1

Let sequence by defined by a_(1)=3,a_(n)=3a_(n-1)+1 for all n>1

Let {a_(n)}(n>=1) be a sequence such that a_(1)=1, and 3a_(n+1)-3a_(n)=1 for all n>=1 Then find the value of a_(2002).

Some sequences are defined as follows. Find their first four terms : (i) a_(1)=a_(2)=2, a_(n)=a_(n-1)-1, n gt 2 " " (ii) a_(1)=3, a_(n)=3a_(n-1), n gt 1

Some sequences are defined as follows. Find their first four terms : (i) a_(1)=a_(2)=2, a_(n)=a_(n-1)-1, n gt 2 " " (ii) a_(1)=3, a_(n)=3a_(n-1), n gt 1

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

Let {a_(n)} (n gt= 1 ) be a sequence such that a_(1) = 1 and 3a_(n+1)-3a_(n)=1 for all n gt= 1 . Then find the value of a_(2002) .

If a_(1), a_(2) …… a_(n) = n a_(n - 1) , for all positive integer n gt= 2 , then a_(5) is equal to

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)=

Let a_(1),a_(2),a_(3), . . .,a_(n) be an A.P. Statement -1 : (1)/(a_(1)a_(n))+(1)/(a_(2)a_(n-1))+(1)/(a_(3)a_(n-1))+ . . .. +(1)/(a_(n)a_(1)) =(2)/(a_(1)+a_(n))((1)/(a_(1))+(1)/(a_(2))+ . . .. +(1)/(a_(n))) Statement -2: a_(r)+a_(n-r+1)=a_(1)+a_(n)" for "1lerlen

Let a_(1),a_(2),a_(3), . . .,a_(n) be an A.P. Statement -1 : (1)/(a_(1)a_(n))+(1)/(a_(2)a_(n-1))+(1)/(a_(3)a_(n-1))+ . . .. +(1)/(a_(n)a_(1)) =(2)/(a_(1)+a_(n))((1)/(a_(1))+(1)/(a_(2))+ . . .. +(1)/(a_(n))) Statement -2: a_(r)+a_(n-r+1)=a_(1)+a_(n)" for "1lerlen