Formula for merging items

Peedoe

New member
Joined
Jun 10, 2021
Messages
2
Not sure if this is the right area (algebra or not), but looking for a formula to calculate how many of a level 1 item are needed to create a level 2, 3, 4,...10 item when it takes 3 1's to make a 2, then 3 2's to make a 3, etc., etc.

I want to create a table that has the level I want to achieve (say 10) and then it will show how many of the preceding levels it will take me to get there, something like this.

10: 1
9: 3
8: 9
etc.

Hoping for a formula in case the quantity may change to 2 or 4 needed to merge to next level.
 

Dr.Peterson

Elite Member
Joined
Nov 12, 2017
Messages
11,505
It looks like level 9 equals 3 level 10's; level 8 equals `3^2` level 10's; and so on, so that level n equals `3^(10-n)` level 10's. You could replace 3 and 10 with other numbers as needed.
 

Peedoe

New member
Joined
Jun 10, 2021
Messages
2
Perfect
Level Desired:Units Desired:
10​
1
9​
3
8​
9
7​
27
6​
81
5​
243
4​
729
3​
2,187
2​
6,561
1​
19,683
 
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