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

Academic Mathematics NCERT Class 10

Given:

Given sequence is $0.2, 0.22, 0.222, 0.2222, ……$

To do:

We have to check whether the given sequence is an AP. If it is an AP we have to find the common difference $d$ and write three more terms.

Solution:

In the given sequence,

$a_1=0.2, a_2=0.22, a_3=0.222$

$a_2-a_1=0.22-0.2=0.02$

$a_3-a_2=0.222-0.22=0.002$

$a_2 - a_1 ≠ a_3 - a_2$

Therefore, the given sequence is not an AP.

Simply Easy Learning

Updated on: 10-Oct-2022

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