" 6."a_(n)=n(n^(2)+5)/(4)

Write the first five terms of the sequence whose n^(th) terms are : a_(n)=n(n^(2)+5)/(4)

Write the first five terms of each of the following sequences whose nth terms are: (i) a_(n)=2n+5 (ii) a_(n)=n(n+2) (iii) a_(n)=(n-3)/4 (iv) a_(n)=n/(n+1) (v) a_(n)=(n(n^(2)+5))/4

If a_(n)=(n^(2))/(3n+2) , find a_(1)a_(5) .

If (1+x+x^(2))^(n)=1 +a_(1)x+a_(2)x^(2)+a_(3)x^(3) +……..+a_(2n).x^(2n) then prove that: (i) a_(1)+a_(3)+a_(5)+…..+a_(2n-1) =(3^(n)-1)/(2) (ii) a_(2)+a_(4)+a_(6)+……+a_(2n)=(3^(n)-1)/(2)

Find the indicated terms of the sequences whose nth terms are given by a_(n)=(5n)/(n+2), a_(6) and a_(13)

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)

In an AP a_(n) = (5n-3)/(4) , then a_(7) = ………..