Question

Find the two missing numbers in the arithmetic mean between $14$ and $50$.

• A. $25$ and $35$
• B. $26$ and $38$
• C. $27$ and $34$
• D. $21$ and $32$

Answer 1

Answer: (B)

$26$ and $38$

14, ....... , ........ , 50
$n=4,a=14,a_n=50$
First find the common difference:
$a_n=a_1+(n-1)d$
$50=14+(4-1)d$
$50-14=3d$
$\frac{36}{3}=d$
$d=12$
The missing numbers are 26 and 38.