Which of the following form an AP? Justify your answer.
$ 0,2,0,2, \ldots $

Given:

Given sequence is \( 0,2,0,2, \ldots \)

To do:

We have to check whether the given sequence is an AP. 

Solution:

In the given sequence,

$a_1=0, a_2=2, a_3=0, a_4=2$

$a_2-a_1=2-0=2$

$a_3-a_2=0-2=-2$

$a_4-a_3=2-0=2$

Here,

$a_2 - a_1 ≠ a_3 - a_2$

Therefore, the given sequence is not an AP.

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Updated on: 10-Oct-2022

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