There are many many, solutions. Here are three: -2,9,16 are in AP, with common difference 11 and subtracting 1,4,19, gives -3,3,-3 in GP, with common ratio -1. -2,-5,-8 are in AP, with common difference -3 and subtracting 1,4,19, gives -3,-9,-27 in GP, with common ratio 3. -47,-68,-89 are in AP, with common difference -21, and subtracting 1,4,19 gives -48, -72, -108, GP, with common ratio 1.5. Edwin