Answer: neither
Step-by-step explanation:
Consider sequence
, where n acn be any natural number.
This sequence is said to be Arithmetic sequence if the difference between two consecutive terms is equal.
i.e, if it is arithmetic then ![d=a_2-a_1=a_3-a_2=...=a_n-a_{n-1}](https://tex.z-dn.net/?f=d%3Da_2-a_1%3Da_3-a_2%3D...%3Da_n-a_%7Bn-1%7D)
This sequence is said to be Geometric sequence if the common ratio between two consecutive terms is equal.
![r=\dfrac{a_2}{a_1}=\dfrac{a_3}{a_2}=......=\dfrac{a_n}{a_{n-1}}}](https://tex.z-dn.net/?f=r%3D%5Cdfrac%7Ba_2%7D%7Ba_1%7D%3D%5Cdfrac%7Ba_3%7D%7Ba_2%7D%3D......%3D%5Cdfrac%7Ba_n%7D%7Ba_%7Bn-1%7D%7D%7D)
The given sequence = 1, 2, 2, 3, ...
Here ,
, so difference between two consecutive terms is not equal.
⇒ Its not an Arithmetic sequence.
Also ,
, so ratio between two consecutive terms is also not equal.
⇒ Its not an Geometric sequence.
Hence, the given sequence is neither arithmetic nor geometric.