hello : the general term is : an = a1×r^(n-1) a1 : the first term....( a1 = 6) r : the common ratio......( r = -1/3 ) when : n = 8 a8 is the eighth term : a8 = 6×(-1/3)^7 a8 =- 6×(1/3)^7 because : (-1/3)^7 = - (1/3)^7 a8 = -2 ×(3/3^7) a8 = -2×(1/3^6) a8 = (-2)/[ 3^6 ]