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

Find the arithmetic mean of :

(i) -5 and 41

(ii) 3x - 2y and 3x + 2y

(iii) (m + n)² and (m - n)²

How many terms of the series 18 + 15 + 12 + ……. when added together will give 45?

The n^th term of sequence is 8 - 5n. Show that the sequence is an A.P.