Chapter 5: Arithmetic Progressions

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, .................................