# Arithmetic Progressions

#### Answer:

A.P: *a, a+d, a+2d …*

Here, we first need to write the expression for

Now, as we know,

So, for *n*^{th} term,

Similarly, for *k*^{th} term

So,

So,

(i) In the given problem, we are given 11^{th} and 13^{th}^{ }term of an A.P.

We need to find the common difference. Let us take the common difference as *d *and the first term as *a*.

Here,

Now, we w...

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