Question

Can someone tell me if I answered this question correctly?
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.

Which recursive equation represents the pattern?

A. an = an – 1 + n

B. an = an – 1 – n

C. an = an – 1 + 2n --> My answer

D. an = an – 1 – 2n

Answer 1

@phi Can you please check this for me.

Answer 2

@satellite73

Answer 3

I would say
\[ a_n= a_{n-1} + n \]

for example,
\[ a_2 = a_1 +2+1 \\
a_2 = 2 + 2 = 4 \]

and
\[ a_3 = a_2 + 3 \\
a_3= 4 + 3 = 7 \]