The next number in the series is 2,5,11,20,32,47, is It looks like we are taking multiples of 3. So each term S(n) = S(n - 1) + 3(n - 1) So S(7) = S(6) + 3(7 - 1) S(7) = 47 + 3(6) S(7) = 47 + 18 S(7) = 65