To find: Four arithmetic means between 4 and 29

Formula used: (i) , where, d is the common difference

n is the number of arithmetic means

(ii) A_n = a + nd

We have 4 and 29

Using Formula,

Using Formula, A_n = a + nd

First arithmetic mean, A₁ = a + d

= 4 + 5

= 9

Second arithmetic mean, A₂ = a + 2d

= 4 + 2(5)

= 4 + 10

= 14

Third arithmetic mean, A₃ = a + 3d

= 4 + 3(5)

= 4 + 15

= 19

Fourth arithmetic mean, A₄ = a + 4d

= 4 + 4(5)

= 4 + 20

= 24

Ans) The four arithmetic means between 4 and 29 are 9, 14, 19 and 24