Example 1. Find the common difference of the A.P. 2, 5, 8, 11, 14….........
Solution:- Here a = 2, a + d = 5, a + 2d = 8
Example 2. Show that p - q, p and p + q from consective terms of an A.P.
Solution:- p + q - p = p - (p - q) = q = c.d.
Hence p - q, p and p + q from consective terms of an A.P.
Example 3. Find A.P. whose 5th term is 24 and difference between 7th term and 10th term is 15.
Solution:- t5 = a + 4d = 24
t7 = a + 6d
t10 = a + 9d
t10 - t7 = 15
Hence the A. P. is 4, 9, 14, 19, 24, 29, 34, .................................
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