-9 = -10+1 101 = 100+1 -999 = -1000+1 10001 = 10000+1 -99999 = -100000+1 So it's the powers of 10 with alternating signs, plus 1. (-1)n is the factor that causes the signs to alternate: So the nth term of the sequence is an = (-1)n10n + 1 or an = (-10)n + 1 Edwin