## anonymous 3 years ago Is this sequence arithmetic? 1, 3, 9, 27, 81... How will I know if a sequence is arithmetic or not?

1. ParthKohli

Is $$\rm 2nd ~term - 1st~ term$$ equal to $$\rm 3rd~term - 2nd~term$$? If yes, then it's arithmetic.

2. anonymous

it is not arithmetic sequence A sequence is arithmetic if the difference between its any two consecutive terms is same. in your question it could be arithmetic if 3-1=9-3=27-9=81-27 but as they are not equal so it is not arithmetic

3. AravindG

infact this is a "Geometric Progression " with common ratio 3

4. anonymous

Ok. Thanks guys! :)