Hopefully you were able to find some time and a quiet place this weekend to try our Five Problems for Your Weekend (5/15/15). Below you’ll find the fully worked-out solutions to those problems.

15. B

If a sequence is *geometric*, you can find the common ratio between the terms by dividing any term by the term that immediate preceeds it. For this sequence, the common ratio is 162/243 = 2/3. Now you can continue the sequence by repeatedly multiplying by 2/3.

Fourth term: 108(2/3) = 72

Fifth term: 72(2/3) = 48

Sixth term: 48(2/3) = 32