[" (iii) "t_(n)=n^(2)+1," (iv) "],[" (v) "t_(n)=2n+5]

If for a sequence (T_(n)), (i) S_(n) = 2n^(2)+3n+1 (ii) S_(n) =2 (3^(n)-1) find T_(n) and hence T_(1) and T_(2)

Find the term indicated in each case: (i) t_(n)=4^(n)+n^(2)-n-1,t_(3) (ii) h(n)=n^(2)-3n+4, h(10)

Find as indicated in each case: (i) t_(1)=1,t_(n)=2t_(n-1),(ngt 1),t_(6)=? (ii) S_(n)=S_(n-1)-1,(ngt2), S_(1)=S_(2)=2,S_(5)=?

If (1 ^(2) - t _(1)) + (2 ^(2) - t _(2)) + ......+ ( n ^(2) - t _(n)) =(1)/(3) n ( n ^(2) -1 ), then t _(n) is

Find the terms (s) indicated in each case: (i) t_(n)=t_(n-1)+3(ngt1),t_(1)=1,t_(4) (ii) T_(n)=(T_(n-1))/(T_(n-2)),(ngt2),T_(1)=1,T_(2)=2,T_(6)

A sequence {t_(n)} is given by t_(n)=n^(2)-1,n in N, show that it is not an A.P.

The absolute value of the sum of first 20 terms of series, if S_(n)=(n+1)/(2) and (T_(n-1))/(T_(n))=(1)/(n^(2))-1 , where n is odd, given S_(n) and T_(n) denotes sum of first n terms and n^(th) terms of the series