Test subject: the pattern memory game in Neverwonder
I couldn't find it on wiki. RaZor, I need your help to create a page for this.
Firstly, let's talk about the pitches.
Green mushroom: D-sharp5 (E-flat5)
Red mushroom: A-sharp5 (B-flat5)
Yellow mushroom: G5
Blue mushroom: C6
C–E♭–G–B♭ is C minor seventh chord.
Secondly
This game tests your memory as you will need to memorize the positions of the mushrooms.
The first round's pattern starts with 4 and is continued by adding 1 to the last number each round.
When you successfully reproduce the original pattern that was shown,
the gnome gives 25 gold on 1st round (4 mushrooms), 40 on 2nd round (5 mushrooms), 55 on 3rd, and so on.
Now we need a little bit of math here.
where...
the initial round gives 25 gold (A) and
the difference (D) between rounds is 15 gold,
We can write an arithmetic sequence as a rule: Xn = A + D(n−1) = 25 + 15(n−1)
So, the 10th round (13 mushrooms) gives you 160 gold.
To sum up all the gold of this arithmetic sequence: {2*A + D*(n−1)}*n/2
For example, the sum of gold is 925 if you succeed 10 times in a row.