geometric sequence

9 Latin loan words: bone fide, caveat emptor, ad nauseum, modus operandi, prima donna, quantum, quorum, quid pro quo, status quo

6 French loan words: carte blanche, faux pas, bon voyage, fait accompli, deja-vu, facade

4 German loan words: kindergarten, angst, uber, Volkswagen

Find the next term in 9, 6, 4. This is a geometric sequence because there is a common ratio between each term. In this case, multiplying the previous term in the sequence by 2/3, which is the ratio, gives the next term. The next term is a repeating decimal, 2.66666667. That is how far my calculator will calculate the solution.