Determining `T_n` if `S_n` is given

Determine Tn if sn is given

Determine value of n or sum of terms if n^(th) term (T_(n)) is given

Determine the number n in a geometric progression {a_n} , if a_1= 3, a_n= 96 and S_n= 189 .

Determine whether (t_n) is an arithmetic sequence if: t_n=an^2+bn

Determine whether (t_n) is an arithmetic sequence if: t_n=an+b

Determine whether (t_n) is an arithmetic sequence if: t_n=an^2+b

The correct order of s_(n),c_(n) and T_(n) is given by

If S_n , the sum of first n terms of an A.P., is given by S_n=5n^2+3n , then find its n^(t h) term.

If the sum of first n terms of an A.P. is given by S=3n^(2)+4n. Determine the A.P. and the n^(th) term.

The sum of the first n terms of an AP is given by S_(n) = 3n^(2) — 4n . Determine the AP and the 12th term.