A sequence is given by `a_n=2-3n`.Prove that it is an AP.Find its 6th term.

The nth term of a sequence is given by 2^(n+1)/3^n . Prove that it is a geometric sequence. Also find the first term and common ratio of it.

T_n=4n-10 is the nth term of a sequence. Find whether it is an A.P. or not. If it is an A.P. Find it's first term and C.D.

The n th term of a progression is 3n-5 .Find its 15th term.

In a G.P., the (p + q)th term is m and (p-q)th term is n. Find its pth term.

Find the 31st term of an AP whose 11th term is 38 and the 16th term is 73.

Examine whether the following sequences are in A.P. If it is so, determine its first term and common difference. T_n=n^2+3

Examine whether the following sequences are in A.P. If it is so, determine its first term and common difference. T_n=4n+3

In a certain A.P., the 24th term is twice the 10th term. Prove that 72th term is twice of 34th term.

Identify which of the following sequence is in A.P. Also find the first term and common difference if they form an A.P. -6,-2,2,6,......

An AP consists of 50 terms of which 3rd term is 12 and the last term is 106.Find the 29th term.