The missing terms in AP: __, 13, __, 3 are:Question 27Answera.11 and 9b.17 and 9c.18 and 9d.18 and 8

In an Arithmetic Progression (AP), the difference between any two consecutive terms is constant. This difference is called the common difference.

Given the AP: __, 13, __, 3

Let's denote the first term as 'a', the second term as 'a + d', the third term as 'a + 2d', and so on, where 'd' is the common difference.

From the given AP, we know that 'a + d = 13' and 'a + 3d = 3'.

We can solve these two equations to find the values of 'a' and 'd'.

Subtract the second equation from the first to get: 'd = 13 - 3 = 10'.

Substitute 'd = 10' into the first equation to get: 'a = 13 - 10 = 3'.

So, the missing terms in the AP are 'a = 3' and 'a + 2d = 3 + 2*10 = 23'.

Therefore, the missing terms in the AP: __, 13, __, 3 are 3 and 23.

However, none of the provided options (a.11 and 9, b.17 and 9, c.18 and 9, d.18 and 8) match this answer. There might be a mistake in the question or the provided options.