Question

What is the common ratio for this problem?

Answer 1

so... for a geometric sequence, a common ratio, is that "something" you multiply the current term's value, to get the next term's value

now, if you simply divide any of the terms by the guy behind them, you'd get the common ratio

namely
`\bf a,a\cdot b\qquad \qquad \cfrac{a\cdot b}{a}=b\impliedby common\ ratio`

hmm so hmmm let's say let's take 1/8 and -1/4, we could use any pair of subsequent terms, but let's just use those two anyway


`\bf \cfrac{(1)/(8)}{-(1)/(4)}\implies \cfrac{1}{8}\cdot \cfrac{4}{-1}\implies -\cfrac{1}{2}\impliedby \textit{common ratio}`