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.

Which recursive equation represents the pattern?

an = an – 1 + n

an = an – 1 + (4n + 1) <-- My answer (Am I correct?)

an = an – 1 + (2n + 1)

an = an – 1 + 3n

Answer 1

So we have two sets

n = {1,2,3,4...}
a = {1,6,13,22...}

As n increases, the number of experience points increases successively by
i = {5, 7, 9, 11...}

\[a_1 + 5 \\= 1 + 5 \\= { a_{(2 - 1)} + 2(2) + 1} \\ = 6 \\= a_2\]

\[{a_3 = a_{(3 - 1)} + 2(3) + 1} \\ = a_2 + 7 \\= 6 + 7 \\= 13\]

Answer 2

The answer is not what you chose @AdrianK

Answer 3

i am not sure if i am reading it right ... is it A_n -1 or A_(n-1)

Answer 4

So, it would be C?

Answer 5

Yes, C is correct.

Answer 6

Thanks again!! You are a life saver!

Answer 7

yw