Question

A video game has been developed whereby the player must earn a certain number of experience points before progressing to the next level.

On level 1, a player must earn 1 experience point.
On level 2, a player must earn 6 experience points.
On level 3, a player must earn 13 experience points.
On level 4, a player must earn 22 experience points.

How many experience points must a player earn on level 7?

33

46

54

61

Answer 1

You must find the pattern.

Answer 2

You're looking for patterns here, in the amount of experience points per level. The values we have are 1, 6, 13, and 22. The second one is the first one plus 5, then the difference between the next two is 7, and the difference between the next two is 9. So, the difference is increasing by two each time. Continue this pattern to find the experience at level 7.