There is an Arithmetic Progression with 10 terms. The Sum of numbers at even p

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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.

Options:

A . 1

B .

\frac{1}{2}

C .

\frac{1}{4}

D .

\frac{2}{3}

Answer: Option B
:
B

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} a n d a_{2} + a_{4} + a_{6} + a_{8} + a_{10} = 15

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

5 a + 25 d = 15

d = 0.5

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