Which of the following form an AP? Justify your answer.
\( 1,1,2,2,3,3, \ldots \)
Given:
Given sequence is \( 1,1,2,2,3,3, \ldots \)
To do:
We have to check whether the given sequence is an AP.
Solution:
In the given sequence,
$a_1=1, a_2=1, a_3=2, a_4=2$
$a_2-a_1=1-1=0$
$a_3-a_2=2-1=1$
$a_4-a_3=2-2=0$
Here,
$a_2 - a_1 ≠ a_3 - a_2$
Therefore, the given sequence is not an AP.
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