Question

The sum of n
arithmetic means between a
and b
, is [RPET 1986]
A) \frac{n(a+b)}{2} B) n(a+b) C) \frac{(n+1)(a+b)}{2} D) (n+1)(a+b)

Answer 1

Hi ,

Sum of n Arithmetic means between

a and b = ( n +2 )/2 ( a + b ) - ( a + b )

= ( a + b ) [ ( n + 2 )/2 - 1 ]

= ( a + b ) [ ( n + 2 - 2 )/2 ]

= ( a + b ) n/2

= [ n ( a + b ) ]/2

Therefore ,

Option ( A ) is correct.

I hope this helps you.

: )