Which of the following are APs? If they form an AP, find the common difference $d$ and write three more terms.
$1, 3, 9, 27, …….$

AcademicMathematicsNCERTClass 10

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.

raja
Updated on 10-Oct-2022 13:20:14

Advertisements