# CBSE Class 10-Mathematics: Chapter – 5 Arithmetic Progressions Part 13 (For CBSE, ICSE, IAS, NET, NRA 2022)

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## 3 Mark Questions

**Question 1**:

Write first four terms of the AP, when the first term and common difference d are given as follows:

(i)

(ii)

(iii)

(iv)

(v)

**Answer**:

(i) First term

Second term

Third term second term

Fourth term third term

Therefore, first four terms are:

(ii) First term

Second term

Third term second term

Fourth term third term

Therefore, first four terms are:

(iii) First term

Second term

Third term second term

Fourth term third term

Therefore, first four terms are:

(iv) First term

Second term

Third term second term

Fourth term third term

Therefore, first four terms are:

(v) First term

Second term

Third term

Fourth term

Therefore, first four terms are:

**Question 2**:

Find the 31^{st} term of an AP whose 11^{th} term is and 16^{th} term is .

**Answer**:

Here and

Using formula , to find term of arithmetic progression,

And

And

These are equations consisting of two variables.

We have,

Let us put value of a in equation ,

Therefore, Common difference

Putting value of d in equation ,

Therefore, common difference and First term

Using formula , to find term of arithmetic progression,

Therefore, term of AP is .