1, 2, 6, 42, 1806, ___
What is the 6th number in the sequence above?

 


Solution to the Problem:

The answer is 3,263,442.

The sequence is of the form: n (n + 1)

Begin with 1.
The next term is found by multiplying 1 x (1 + 1) = 1 x 2 = 2
The third term is found by multiplying 2 x (2 + 1) = 2 x 3 = 6
The fourth term is found by multiplying 6 x (6 + 1) = 6 x 7 = 42
The fifth term is found by multiplying 42 x (42 + 1) = 42 x 43 = 1806
The sixth term is found by multiplying 1806 x (1806 + 1) = 1806 x 1807 = 3,263,442


Correctly solved by:

1. John Funk Ventura, California
2. Austin Hale Mountain View High School,
Mountain View, Wyoming
3. Jacob Harmon Mountain View High School,
Mountain View, Wyoming
4. Tawny Bugas Mountain View High School,
Mountain View, Wyoming
5. Trey Briggs Mountain View High School,
Mountain View, Wyoming
6. Cassie Henry Mountain View High School,
Mountain View, Wyoming
7. Sierra West Mountain View High School,
Mountain View, Wyoming
8. Makayla Wisenbaker Mountain View High School,
Mountain View, Wyoming
9. Matt Hale Mountain View High School,
Mountain View, Wyoming
10. Jeremy Harmon Mountain View High School,
Mountain View, Wyoming
11. Rachel Hofer Mountain View High School,
Mountain View, Wyoming
12. Tori Johnson Mountain View High School,
Mountain View, Wyoming
13. Chelsea Sidwell Mountain View High School,
Mountain View, Wyoming
14. Kaycie Rees Mountain View High School,
Mountain View, Wyoming
15. Ali Lindemood Mountain View High School,
Mountain View, Wyoming
16. Courtney Peterson Mountain View High School,
Mountain View, Wyoming
17. Taiya Cheney Mountain View High School,
Mountain View, Wyoming
18. Michael Black Mountain View High School,
Mountain View, Wyoming
19. Preston Condos Mountain View High School,
Mountain View, Wyoming
20. Sammy Hood Mountain View High School,
Mountain View, Wyoming
21. Kaylie Johnson Mountain View High School,
Mountain View, Wyoming
22. Becca G. Mountain View High School,
Mountain View, Wyoming
23. Mark Kampman Mountain View High School,
Mountain View, Wyoming
24. Bo Aimone Mountain View High School,
Mountain View, Wyoming
25. Clint Lamb Mountain View High School,
Mountain View, Wyoming
26. McKinna Salsbury Mountain View High School,
Mountain View, Wyoming
27. Carrie Cotter Austin, Texas