Which of the following form an AP? Justify your answer.
$ 1,1,2,2,3,3, \ldots $

AcademicMathematicsNCERTClass 10

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.

raja
Updated on 10-Oct-2022 13:27:27

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