Question

There is an Arithmetic Progression with 10 terms. The Sum of numbers at even places is 15 and Sum of numbers at odd places is $\frac{25}{2}$. Find the common difference.

• A. 1
• B. 1/2
• C. 1/4
• D. 2/3

Answer 1

The correct option is B

1/2

Let a1 be the first term.. then the second term can be written as $a_1+d$. Similarly we write all even in terms of odd.

$a_1+a_3+a_5+a_7+a_9=\frac{25}{2}and{a}_2+a_4+a_6+a_8+a_{10}=15$

$5a+20d=\frac{25}{2}$
$5a+25d=15$
$d=0.5$