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Insert three geometric means between 3and 243, with solution​

Sagot :

Answer:

3, …., 243 (m A.M)

d = (b-a)/(n+1)

= (243-3)/(m+1)

= 240/(m+1)

4th AM = 3+4d

= 3+4(240/m+1)

3, …, 243 (3G.M)

243 = 3r4

r = 3

2nd G.M = ar2 = 27

Given that 4th A.M. is equal to 2nd G.M.

3+(960/m+1) = 27

= 960/m+1 = 24

⇒ m = 39

the answer is 39