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#1 2013-10-25 20:32:18

mukesh
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Arithmetic Means

show that the sum of the arithmetic means between two given quantities ,equidistant from the beginning and the end is constant.

#2 2013-10-25 21:32:13

bob bundy
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Re: Arithmetic Means

hi mukesh

I am not very clear about what is variable and what fixed here.  Let's see if I can sort this out.

Let beginning = b
end = e

first quantity = a
second quantity = c

equidistant => a - b  = e - c

=> a + c = e + b

So, if e and b are fixed it should be easy for you to finish this off.  smile

Bob


You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei

#3 2013-10-26 03:50:10

mukesh
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Re: Arithmetic Means

sir here beginning and last numbers are constant,fixed.
plse explane in brief ,i m in trouble

#4 2013-10-26 18:29:27

bob bundy
Moderator

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Re: Arithmetic Means

That's what I was assuming.

b + e = constant => a+ c is constant.

All you need to fill in is the arithmetic mean.  Do you know what that is?

Bob


You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei

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