" (i) "t_(n)=(-1)^(n-1)5^(n-1);t_(3)

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

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)+3(ngt1),t_(1)=1,t_(4) .

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)

If t_(n)=(1+(-2)^(n))/(n-1) , find t_(6)-t_(5)

Find the term indicated in the following case : t_(n)=4^(n)+n^(2)-n+1 ,t_(3) .

Two sequence {t_(n)} and {s_(n)} are difined by t_(n) =log ((5^(n+1))/(3 ^(n-1)))and s_(n) =[log ((5)/(3))]^(n), then-

If t+n=sum_(1)^(n)n then find t_(n)^( prime)=sum_(1)^(n)t_(n)

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.