Question

Question 1 (vi)
Which of the following form an AP? Justify your answer.
$2,2^2,2^3,2^4,...$

Answer 1

Given series is :
$2,2^2,2^3,2^4,\cdots$
$i.e.2,4,8,16,\cdots$

Here,
$t_1=2,t_2=4,t_3=8and{t}_4=16$
$t_2-t_1=4-2=2$
$t_3-t_2=8-4=4$
$t_4-t_3=16-8=8$

Clearly, the difference between the successive terms is not the same.
Therefore, the given numbers do not form an AP.