# CBSE Class 10-Mathematics: Chapter –5 Arithmetic Progressions Part 12

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**Question 21:**

Find for the A.P

**Answer:**

**Question 22:**

Find the common difference and write the next two terms of the AP

**Answer:**

Hence, it is AP.

**Question 23:**

Show that sequence defined by is an AP.

**Answer:**

So

Hence, it is AP.

**Question 24:**

The first term of an AP is and common difference . Find its general term.

**Answer:**

**Question 25:**

How many terms are there in A.P?

**Answer:**

**Question 26:**

In an AP, the sum of first terms is . Find its 2^{nd} term

**Answer:**

Put

**Question 27:**

Show that the progression is an AP

**Answer:**

And

And

Hence, it is an AP.