Answer:
Geometric
Step-by-step explanation:
Since, a sequence is arithmetic if there is a common difference in the successive terms,
While it is geometric if there is a common ratio in successive terms,
Here, the given sequence,
2, 4, 8, 16, 32..................,
Since, 4 - 2 ≠ 8 - 4 ≠ 16 - 8 ≠ 32 - 16........
⇒ There is not a common difference in successive terms,
Hence, the given sequence is not arithmetic.
Now,
[tex]\frac{4}{2}=\frac{8}{2}=\frac{16}{8}=\frac{32}{16}.......=2[/tex]
⇒ There is a common ratio in successive terms,
Hence, the given sequence is a geometric sequence.
