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

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

Question:

In the following APs, find the missing terms in the boxes : ?, 13, ?, 3

Given:

An arithmetic progression (AP) with terms ?, 13, ?, 3.

To Find:

The missing terms in the given AP.

Formula:

The nth term of an AP is given by an = a + (n-1)d, where a is the first term and d is the common difference.

Solution:

Let the AP be a1, a2, a3, a4. We are given that a2 = 13 and a4 = 3.
The common difference is d = a4 - a2 2 = 3 - 13 2 = -10 2 = -5
Now, a1 = a2 - d = 13 - (-5) = 18 and a3 = a2 + d = 13 + (-5) = 8.
Therefore, the AP is 18, 13, 8, 3.

Result:

The missing terms are 18 and 8.
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