Question

Insert three harmonic means between 1 and 1/9​

Answer 1

Answer:

1/3 , 1/5 , 1/7

Step-by-step explanation:

Let consider the numbers

1, h1 , h2 , h3 , 1/9. In h.p.

Then,

1 , 1/h1 , 1/h2 , 1/h3 , 9. Will be in A.P.

now

9 = 1 + (n-1)d

(Tn = a + (n-1)d and d is common difference)

Therefore, d = 2

then,

the numbers are : 1,3,5,7,9

so the harmonic means are

1/3 , 1/5, 1/7

WHICH IS YOUR REQUIRED ANSWER!