Which of the following are APs? If they form an AP, find the common difference $d$ and write three more terms.
$1, 3, 9, 27, …….$
Given:
Given sequence is $1, 3, 9, 27, …….$
To do:
We have to check whether the given sequence is an AP. If it is an AP we have to find the common difference $d$ and write three more terms.
Solution:
In the given sequence,
$a_1=1, a_2=3, a_3=9$
$a_2-a_1=3-1=2$
$a_3-a_2=9-3=6$
$a_2 - a_1 ≠ a_3 - a_2$
Therefore, the given sequence is not an AP.
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