Here are the 3 patterns we’ve found so far:
Pattern 1: 1, 2, 4, 8, 16, 32, 64, 128…
Pattern 2: 1, 11, 121, 1331, 14641…
Pattern 3: 1, 3, 6, 10, 15, 21, 28…
And here are the equations the Math Alliance sent to be decrypted.
12 + ? =
0 + ? =
18 + ? =
5 + ? =
4 + ? =
11 + ? =
? – 12 =
? – 8 =
? – 33 =
? – 29 =
? – 80 =
? – 130 =
? – 226 =
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You might not have found this pattern, so try adding up the terms on the diagonals I’ve drawn above. Does this pattern look familiar, what is this pattern called?
Isn’t it amazing that so many patterns relating to so many different areas of math can all appear in a simple table like Pascal’s Triangle? Well, let’s take this pattern and test it to see if we can decode our message. You’re going to need 13 numbers, but you already know how to find the next term in this sequence, right? First write out the 13 terms you will use.
The first 13 terms in this sequence are
Now test this pattern in the coded equations, and write the decoded message.