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 2 experience points.
On level 2, a player must earn 4 experience points.
On level 3, a player must earn 7 experience points.
On level 4, a player must earn 11 experience points.

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

Answer 1

please help

Answer 2

@vzfreakz help

Answer 3

There's a pattern into this, well an uneven pattern. You can tell from looking at 2, 4, 7, 11.

It goes by 2, 3, & 4.

Do you get where I'm going with this?

Answer 4

@gislhaine1

Answer 5

For level \(n\), the experience required \(a_n\) is
\[\large a_n=n+a_{n-1}\]

Answer 6

If you keep repeating that pattern, you'll get your answer.

Answer 7

its really confusing

Answer 8

Did you see the pattern that I done for you above?

Answer 9

yes but i got 22

Answer 10

What's

2+2? 4

4+3? 7

7+4? 11

Okay, do this - what's 11+5 =?

Answer 11

15

Answer 12

thk you so much

Answer 13

@vzfreakz

Answer 14

Correct, 15 experience points that has been givin'. Then your next step would to add 15 to 6. What do you get for that?

Answer 15

21

Answer 16

It would be 21. Now it was asking for "How many experience points must a player earn on level 7?"

Add 21 to 7 then that's your answer.

Answer 17

aww thk you can u help me with another one

Answer 18

11+5=16

Answer 19

Sure. I'll try. But it would be better off if you ask this on a new open question. Not here.

Answer 20

Oops. Must have been mis-calculated lol @SithsAndGiggles

Answer 21

i got 28 its not on the answer choice

Answer 22

Add 16 + 6

Answer 23

It would be 29. I hoping that's the answer.

Answer 24

Alternative method:
\[\large \begin{align*}a_7&=7+a_6\\
&=7+6+a_5\\
&=7+6+5+a_4\\
&=7+6+5+11\\
&=29
\end{align*}\]

Answer 25

Still the same answer, but yours was the easy way.