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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?
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from 1 to 6, you have a jump of +5 (since 6-1 = 5)
from 6 to 13, you have a jump of +7 (since 13-6 = 7)
from 13 to 22, you have a jump of +9 (since 22-13 = 9)
So the increasing pattern is: 5, 7, 9, ...
it keeps going like this
5, 7, 9, 11, 13, 15, ...
Level 5: 22+11 = 33
Level 6: 33+13 = 46
Level 7: 46+15 = 61
So the player must earn 61 points on level 7