You need to verify if the sequence is a geometric sequence, hence, you need to use the following property, such that:
`a_n = sqrt(a_(n-1)*a_(n+1))`
Replacing `1/2` for `a_n, 1` for `a_(n-1)` and `1/3` for `a_(n+1) ` yields:
`1/2 = sqrt(1*1/3) => 1/2 != 1/sqrt3`
Since the given sequence is not geometric, the ratio cannot be found.
No comments:
Post a Comment