# NCERT Class 10 Chapter 3 Arithmetic Progressions Official CBSE Board Sample Problems Very Short Answer

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## Question

**The common difference between the terms of two AP’s is same. If the difference between their 50**^{th} **terms is 100, what is the difference between their 100**^{th} **terms?**

### Solution

Let A and a be their first terms and d be their common difference

Difference between their 100th terms is

The difference between their 100th terms is also same i.e. 100

## Question

**Is 2, 4, 8, 1 6,............an arithmetic progression?**

### Solution

No it is not an AP as there doesn’t exist common difference between its terms.

## Question

**Can 35 be a term of the sequence****, ..........?**

### Solution

Suppose it is the nth term of the given sequence.

No it can not be a term of the given sequence

## Question

**What is the common difference of an AP in which**

### Solution

8