3, 27, 243, 2187, 19683 … is ___ .
a geometric sequence
The given sequence is 3, 27, 243, 2187, 19683 …
Let us divide each term of the sequence by its previous term.
27÷3=9
243÷27=9
2187÷243=9
19683÷2187=9
We observe that each term in the sequence is 9 times the previous term.
So the given sequence is a geometric sequence.
If the consecutive terms were formed by adding a constant quantity with the preceding term, the sequence would have been arithmetic.