NCERT Class X Chapter 5: Arithmetic Progression Exercise 5.1 Question 4 (vi)

NCERT Class X Chapter 5: Arithmetic Progression Exercise 5.1 Question 4 (vi)

Question:

Which of the following are APs ? If they form an AP, find the common difference d and write three more terms. 0.2, 0.22, 0.222, 0.2222, . . .

Given:

The sequence is 0.2, 0.22, 0.222, 0.2222, . . .

To Find:

Whether the given sequence is an AP. If it is an AP, find the common difference (d) and the next three terms.

Formula:

In an AP, the common difference (d) between consecutive terms is constant. d = an - an-1

Solution:

Let's find the differences between consecutive terms:

0.22 - 0.2 = 0.02

0.222 - 0.22 = 0.002

0.2222 - 0.222 = 0.0002

Since the differences between consecutive terms are not constant, the given sequence is not an arithmetic progression (AP).

Result:

The sequence 0.2, 0.22, 0.222, 0.2222,... is not an AP.

Next question solution:

NCERT Class X Chapter 5: Arithmetic Progression Exercise 5.1 Question 4 (vii).

© Kaliyuga Ekalavya. All rights reserved.

Comments

Post a Comment