Question

If S is the sum of n arithmetic means between two given numbers a and b, and A is the single arithmetic mean between the given numbers, then find the value of S/A

Answer 1

given, A=a+b/2--------------------eq-1
  we know that , s= n/2(a+l)
here,a=a,l=b
so, s=n/2(a+b)---------------------------eq-2
so, s=n[a+b/2]  
      A=a+b/2
equate 1&2
then , S/n=A
         S/A=n

Answer 2

Answer:

Step-by-step explanation:here is the solution