Answer
Neither geometric nor arithmetic.
Work Step by Step
We have: $a_n=\dfrac{n}{n+1}; n=1,2,3,4,5$
This implies $a_n=\dfrac{1}{2}, \dfrac{2}{3}, \dfrac{3}{4}, \dfrac{4}{5}, \dfrac{5}{6}$
We can see that the quotient of all consecutive terms does not remain constant, so we can say that the sequence is not a geometric sequence.
For the sequence to be arithmetic, the difference of all consecutive terms must be constant but in the sequence the difference of all consecutive terms are not constant . So, it is not an arithmetic sequence.
Hence, the sequence is neither geometric nor arithmetic.
