Question

Find two arithmetic means 1/2 and 1/128

Answer 1

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1/2 = 64/128

So , we need to find 2 arithmetic means between 64/128 & 1/128

d = ( 1 -64)/n-1

= -63/3 = -21

First AM = 64/128 - 21/128

= 43/128

second AM = 43/128 -21/128

= 22/128

The 2 AM are 43/28 & 22/128

The arithmetic sequence is: 64/128, 43/128, 22/128, 1/128.

Answer 2

Given :  1/2 and 1/128

To Find : insert 2 arithmetic means

Solution:

1/2 and 1/128

2 arithmetic means  to be inserted

Hence total numbers = 4

a = 1/2

L = 1/128

n = 4

aₙ = a  + (n - 1)d

 1/128 = 1/2  + (4 -1)d

=> -63/128  = 3d

=> d = -21/128

2 arithmetic means

1/2 -21/128 ,  1/2   - 2 * 21/128

= 43/128  , 22/128

= 43/128   , 11/64

two arithmetic means of  1/2 and 1/128

are 43/128 , 11/64

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