T_(n)=(T_(n-1))/(T_(n-2)),n>2,T_(1)=1,T_(2)=2

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)

Find the term(s) indicated in the following case : T_(n)=(T_(n-1))/(T_(n-2)),(ngt2),T_(1)=1,T_(2)=2, T_(6) .

The Fibonacci sequence is defence by t_(1)=t_(2)=1,t_(n)=t_(n-1)+t_(n-2)(n>2). If t_(n+1)=kt_(n) then find the values of k for n=1,2,3 and 4.

Find the indicated terms in each of the following sequences whose nth nth terms are: (t_(n-1))/(n^(2)),t_(1)=3,t_(2),t_(3)(n>=2)

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)=?

Let T_(r) and S_(r) be the rth term and sum up to rth term of a series,respectively.If for an odd number n,S_(n)=n and T_(n)=(T_(n)-1)/(n^(2)), then T_(m)(m being even) is (2)/(1+m^(2)) b.(2m^(2))/(1+m^(2)) c.((m+1)^(2))/(2+(m+1)^(2))d(2(m+1)^(2))/(1+(m+1)^(2))

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

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

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

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