Answer:
Geometric
Step-by-step explanation:
We know that,
An arithmetic series has a common difference in successive terms of the series,
While, a geometric series has a common ratio in successive terms of the series,
Given series is,
2 + 4 + 8 + 16 + 32 +..........., so on...
Since, 4 - 2 ≠ 8 - 4 ≠ 16 - 8 ≠ 32 - 16.......
Thus, the given sequence does not have the common difference in successive terms,
Hence, series 2 + 4 + 8 + 16 + 32 +..........., is not an arithmetic series.
Now,
[tex]\frac{4}{2}=\frac{8}{4}=\frac{16}{8}=\frac{32}{16}....=2[/tex]
Thus, the given sequence has a common ratio in the successive terms,
Hence, series 2 + 4 + 8 + 16 + 32 +..........., is a geometric series.
⇒ Second option is correct.
