Show that the sequence defined by is not an A.P.

Which term of an A.P. 5, 2, -1, ......... is -22?

Which term of the sequence 12 + 8i, 11 + 6i, 10+41i, ....... is

(i) purely real   (ii) purely imaginary?

Which term of the sequence is the first negative term?

Determine the number of terms in an A.P. 3, 8, 13, .......253. Also, find 12th term from the end.

Find the 2nd term and the rth term of an A.P. whose 6th term is 12 and 8th term is 22.

Determine K, so that K + 2, 4K – 6 and 3K – 2 are three consecutive terms of an A.P.

In an A.P., the mth term is and the nth term is find the (mn)th term.

If m times the mth term is equal to n times the nth term of an A.P. Prove that (m + w)th term of an A.P. is zero.

20.

If (m + l)th term of an A.P. is twice the (n + l)th term. Prove that (3m + l)th term is twice the (m + n + l)th term.