NCERT Class X Chapter 5: Arithmetic Progression Exercise 5.2 Question 3(i)

Question:

In the following APs, find the missing terms in the boxes : 2, ?, 6

Given:

An Arithmetic Progression (AP) with first term a = 2 and third term a₃ = 6.

To Find:

The missing second term of the AP.

Formula:

The nth term of an AP is given by a_n = a + (n-1)d, where 

a is the first term and 

d is the common difference.

Solution:

We have a = 2 and a₃ = 6.

Using the formula a_n = a + (n-1)d, for n = 3, we get:

a₃ = a + (3-1)d 

⇒ 6 = 2 + 2d 

Group terms on both side

⇒ 2d = 4 

Divide by 2 on both sides

⇒ d = 2

Now, we find the second term (a₂):

a₂ = a + (2-1)d = 2 + 1(2) = 4

Result:

The missing term is 4. The AP is 2, 4, 6.

Next question solution:

NCERT Class X Chapter 5: Arithmetic Progression Exercise 5.2 Question 3(ii)

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