" 2."a_(n)=(n)/(n+1)

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

Write the first three terms of the sequence defined by (i) a_(n)=n(n+2) (ii) a_(n)=n/(n+1)

Write the first five terms of the following sequences and obtain the corresponding series (i) a_(1) = 7 , a_(n) = 2a_(n-1) + 3 "for n" gt 1 (ii) a_(1) = 2, a_(n) = (a_(n-1))/(n+1) "for n" ge 2

Write the first five terms of the following sequences and obtain the corresponding series (i) a_(1) = 7 , a_(n) = 2a_(n-1) + 3 "for n" gt 1 (ii) a_(1) = 2, a_(n) = (a_(n-1))/(n+1) "for n" ge 2

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)

Write the first five terms of each of the following sequences whose n th terms are: a_(n)=3n+2( ii) a_(n)=(n-2)/(3)a_(n)=3^(n)( iv )a_(n)=(3n-2)/(5)a_(n)=(-1)^(n)*2^(n)( vi) a_(n)=(n(n-2))/(2)a_(n)=n^(2)-n+1 (vii) a_(n)=2n^(2)-3n+1a_(n)=(2n-3)/(6)

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)

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

If A_(n) is the area bounded by y=x and y=x^(n),n in N, then A_(2)*A_(3)...A_(n)=(1)/(n(n+1)) (b) (1)/(2^(n)n(n+1))(1)/(2^(n-1)n(n+1)) (d) (1)/(2^(n-2)n(n+1))