## RD Sharma Class 10 Solutions Chapter 9 - Arithmetic Progressions (Ex 9.3) Exercise 9.3 - Free PDF

## FAQs on RD Sharma Class 10 Solutions Chapter 9 - Exercise 9.3

**1. What are some of the most important formulae for arithmetic progressions?**

**Some of the most useful formulae in the topic arithmetic progressions are **

Formula of the Common difference of an AP: d = a

_{2}- a_{1}n

^{th}term formula of an AP: an = a + (n - 1)dFormula for the Sum of n terms of an AP: S

_{n}= n/2(2a+(n-1)d)

**2. How to find the number of terms of an AP?**

The number of terms in an AP sequence can simply be found by the division of the difference between the last and the first terms by the common difference, and then adding 1 to it.

**3. What is the difference between arithmetic progression and arithmetic sequence?**

Arithmetic Sequence also known as Arithmetic Series is the sum of the elements of Arithmetic Progression. Arithmetic Progression is a number of sequences within any range that can give a common difference d.

**4. What are the different types of progressions in mathematics?**

**There are three different types of progressions in mathematics. They are**

Arithmetic Progression (AP)

Geometric Progression (GP)

Harmonic Progression (HP)

**5. What is an arithmetic progression?**

An arithmetic progression, abbreviated to AP, is a sequence in which the difference between every two terms which are consecutive is the same. In other words, we can say that an Arithmetic progression is a sequence in which all the terms except the first term are obtained by adding a specific number to its previous number.