Question:
There are n arithmetic means between a and b then find the common difference of this A.P
Answer:
Let A1 ,A2 ,A3 ,...........An are the arithmetic mean between a and b
then a, A1 ,A2 ,A3 ,...........An , b is in AP
This AP contains n+2 terms.
Let d is the common difference of this AP
Then b= (n+2)th term
=> b = a+(n+1)*d
=> b-a = (n+1)*d
=> d = (b-a)/(n+1)
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