Question

ces
an AP.
5. Prove that the sum of m arithmetic means between
the two numbers is to
the sum of n arithmetic means between them is m:n.​

Answer 1

Answer:

a, x1,x2,..xn, b be is an A.P. of n+2 terms where x1,x2,...xn are n A.M.'s between a and b

Now x1+x2+x3+...+xn.

=2n(x1+xn)=2n(T2+Tn+1)

=2n(a+d+b−d)=n(2a+b)

=n (sngle A.M. of a and b).

I hope this answer will help