NCERT Class X Chapter 5: Arithmetic Progression Exercise 5.2 Question 1(ii)

NCERT Class X Chapter 5: Arithmetic Progression Exercise 5.2 Question 1(ii)

Question:

Fill in the blanks in the following table, given that a is the first term, d the common difference and an the nth term of the AP: a=-18 d=? n=10 an=0

Given:

a = -18, n = 10, an = 0

To Find:

Common difference (d)

Formula:

an = a + (n - 1)d

Solution:

We are given a = -18, n = 10, and an = 0. We need to find d.

Using the formula an = a + (n - 1)d, we substitute the given values:

0 = -18 + (10 - 1)d

⇒ 0 = -18 + 9d

⇒ 18 = 9d

⇒ d = 18 9 = 2

Result:

The common difference (d) is 2

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