Question

If A1, A2, A3, …, An are n arithmetic means between a and b. Find the common difference between

the terms.​

Answer 1

Step-by-step explanation:

1. Let A1, A2,A3,......so on An be 'n' arithmetic means between a and b.

2. Here we see that a, A1,A2,A3,......,b are in AP.

3. Then,

nth term= a+(n-1)d

4. Here, nth term=b

a=a

n= n+2 (because there are total n Arithmetic means and 'a' and 'b'.

5. Now,

b=a+(n+2-1)d

b-a=(n+1)d

b-a/n+1=d

So we got option C.