Home
Class 12
MATHS
For sequence (t(n)), if S(n)=5(2^(n)-1) ...

For sequence `(t_(n)),` if `S_(n)=5(2^(n)-1)` then `t_(n)=` . . .

Promotional Banner

Similar Questions

Explore conceptually related problems

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)

Show that the sequence t_(n) defined by t_(n)=2*3^(n)+1 is not a GP.

Show that the sequence t_(n) defined by t_(n)=2*3^(n)+1 is not a GP.

Show that the sequence t_(n) defined by t_(n)=2*3^(n)+1 is not a GP.

Show that the sequence t_(n) defined by t_(n)=2*3^(n)+1 is not a GP.

Show that the sequence t_(n) defined by t_(n)=2*3^(n)+1 is not a GP.

For a sequence, if S_n = 7 (4^n - 1) , find the t_n and show that the sequence is a G.P.

If for a sequence (t_n) , S_n = 2n^2 + 5 , find t_n and show that the sequence is an A.P.

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

A sequence is defined as: t_(n+1)=t_(n)-t_(n-1) , where t_(n) denotes the n^(th) term of the sequence. If t_(1) =1 and t_(2)=5 , find the sum of the first 100 terms of the above sequence.