Question

The sum of $n$ arithmetic means between $a$ and $b$, is.

• A. $\frac { n ( a + b ) } { 2 }$
• B. $n ( a + b )$
• C. $\frac { ( n + 1 ) ( a + b ) } { 2 }$
• D. $( n + 1 ) ( a + b )$

Answer 1

Answer: (A)

$\frac { n ( a + b ) } { 2 }$

Answer 2

The sum of $n$ arithmetic mean between $a$ and $b$

$= \frac { n } { 2 } ( a + b )$.

Aliter : As we know , where $A = \frac { a + b } { 2 }$.