Question

Question 1 (iii)
Which of the following form an AP? Justify your answer.
1, 1, 2, 2, 3, 3, ….

Answer 1

$Here,t_1=1,t_2=1,t_3=2and{t}_4=2$
$t_2-t_1=1-1=0$
$t_3-t_2=2-1=1$
$t_4-t_3=-2-2=0$
Clearly, the difference between the successive terms is not the same.
Therefore, the given numbers do not form an AP.