2, 6, 30, 60, 130, 210,..... .Find the 8th term in this series ?

Key insight: each term is obtained from n^3 by alternately adding and subtracting n (add n for odd n, subtract n for even n).

1. n = 1: 1^3 + 1 = 1 + 1 = 2

2. n = 2: 2^3 - 2 = 8 - 2 = 6

3. n = 3: 3^3 + 3 = 27 + 3 = 30

4. n = 4: 4^3 - 4 = 64 - 4 = 60

5. n = 5: 5^3 + 5 = 125 + 5 = 130

6. n = 6: 6^3 - 6 = 216 - 6 = 210

7. n = 7: 7^3 + 7 = 343 + 7 = 350

8. n = 8: 8^3 - 8 = 512 - 8 = 504

Answer: 504