NCERT Class X Chapter 5: Arithmetic Progression Example 1

Question:

For the AP: 3/2, 1/2, -1/2, -3/2,.... write the first term a and common difference d

Given:

The Arithmetic Progression (AP) is: 3 2 , 1 2 , -1 2 , -3 2 , ...

To Find:

The first term (a) and the common difference (d) of the given AP.

Formula:

In an AP, the first term is denoted by 'a' and the common difference is denoted by 'd'. The common difference is calculated by subtracting any term from its succeeding term: d = a_n+1 - a_n

Solution:

The first term of the AP is a = 3 2

To find the common difference, we subtract the first term from the second term:

d = a₂ - a₁ 

⇒ d = 1 2 - 3 2  

⇒ d = 1 - 3 2  

⇒ d = -2 2  

⇒ d = -1

Result:

First term (a) = 3 2
Common difference (d) = -1

Next question solution:

NCERT Class X Chapter 5: Arithmetic Progression Example 2 (i).

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