" 3."a_(n)=n(n-1)

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

The nth term of a sequence in defined as follows. Find the first four terms : (i) a_(n)=3n+1 " " (ii) a_(n)=n^(2)+3 " " (iii) a_(n)=n(n+1) " " (iv) a_(n)=n+(1)/(n) " " (v) a_(n)=3^(n)

The nth term of a sequence in defined as follows. Find the first four terms : (i) a_(n)=3n+1 " " (ii) a_(n)=n^(2)+3 " " (iii) a_(n)=n(n+1) " " (iv) a_(n)=n+(1)/(n) " " (v) a_(n)=3^(n)

Find the indicated terms in each of the following sequences whose nth terms are: a_(n)=5_(n)-4;a_(12) and a_(15)a_(n)=(3n-2)/(4n+5);a+7 and a_(8)a_(n)=n(n-1);a_(5)anda_(8)a_(n)=(n-1)(2-n)3+n);a_(1),a_(2),a_(3)a_(n)=(-1)^(n)n;a_(3),a_(5),a_(8)

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_(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)=

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_(n+1)=a_(n-1)+2a_(n) for n=2,3,4, . . . and a_(1)=1 and a_(2)=1 , then a_(5) =

In a series a_(n) = (n(n+1))/(3), a_(2) = ………….