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

Question:

Fill in the blanks in the following table, given that a is the first term, d the common difference and a_n the nth term of the AP: a=-18.9 d=2.5 n=? a_n=3.6

Given:

a = -18.9, d = 2.5, a_n= 3.6

To Find:

nth term

Formula:

a_n = a + (n - 1)d

Solution:

We have a_n = a + (n - 1)d

Substituting the given values, we get:

3.6 = -18.9 + (n - 1)2.5

⇒ 3.6 + 18.9 = (n - 1)2.5

⇒ 22.5 = (n - 1)2.5

⇒ 22.5 2.5 = n - 1

⇒ 9 = n - 1

⇒ n = 9 + 1

⇒ n = 10

Result:

Therefore, nth term is 10

Next question solution:

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

Explore more in Arithmetic Progressions chapter:

Click this link to explore more NCERT Class X Chapter 5 Arithmetic Progressions solutions

Explore more:

Click this link to explore more NCERT Class X chapter solutions

© Kaliyuga Ekalavya. All rights reserved.