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

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.

Options:

A . 1

B . 12

C . 14

D . 23

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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