Insert three arithmetic means between 23 and 7.

1.	Insert three arithmetic means between 23 and 7.
Answer» To find: Three arithmetic means between 23 and 7 Formula used: (i) d = b-a/n+1, where, d is the common difference n is the number of arithmetic means (ii) A_n = a + nd We have 23 and 7 Using Formula, d = b - a/n+1 d = 7- 23/3+1 = -16/4 = - 4 Using Formula, A_n= a + nd First arithmetic mean, A₁ = a + d = 23 + (- 4) = 19 Second arithmetic mean, A₂ = a + 2d = 23 + 2(- 4) = 23 + (-8) = 15 Third arithmetic mean, A₃= a + 3d = 23 + 3(- 4) = 23 + (-12) = 11 (Ans) The three arithmetic means between 23 and 7 are 19, 15 and 11

Answer»

To find: Three arithmetic means between 23 and 7

Formula used: (i) d = b-a/n+1, where, d is the common difference

n is the number of arithmetic means

(ii) A_n = a + nd

We have 23 and 7

Using Formula, d = b - a/n+1

d = 7- 23/3+1 = -16/4 = - 4

Using Formula, A_n= a + nd

First arithmetic mean, A₁ = a + d

= 23 + (- 4) = 19

Second arithmetic mean, A₂ = a + 2d

= 23 + 2(- 4) = 23 + (-8) = 15

Third arithmetic mean, A₃= a + 3d

= 23 + 3(- 4) = 23 + (-12) = 11

(Ans) The three arithmetic means between 23 and 7 are 19, 15 and 11

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