Answer: neither
Step-by-step explanation:
Consider sequence [tex]a_1 , a_2 , a_3 , .....a_n[/tex], 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 [tex]d=a_2-a_1=a_3-a_2=...=a_n-a_{n-1}[/tex]
This sequence is said to be Geometric sequence if the common ratio between two consecutive terms is equal.
[tex]r=\dfrac{a_2}{a_1}=\dfrac{a_3}{a_2}=......=\dfrac{a_n}{a_{n-1}}}[/tex]
The given sequence = 1, 2, 2, 3, ...
Here , [tex]2-1\neq2-2[/tex] , so difference between two consecutive terms is not equal.
⇒ Its not an Arithmetic sequence.
Also , [tex]\dfrac{2}{1}\neq\dfrac{2}{2}\neq\dfrac{3}{2}[/tex], so ratio between two consecutive terms is also not equal.
⇒ Its not an Geometric sequence.
Hence, the given sequence is neither arithmetic nor geometric.
