Decoding and Deciphering Exploration
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 =
? – 89 =
? – 130 =
? – 226 =
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Question 1 of 5
1. Question
What are the first 4 letters you found from decoding pattern 1? Remember, take the first 4 numbers from pattern 1, put them in place of the “?”, complete the addition/subtraction, then take the resulting number and align it with the alphabet (1=A, 2=B, etc.). If you don’t remember the numbers for each of our patterns, just click “Materials” above for a quick reminder of the first few terms in each of our patterns.
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Question 2 of 5
2. Question
What are the first 4 letters you found from decoding pattern 2?
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Question 3 of 5
3. Question
What are the first 4 letters you found from decoding pattern 3?
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Question 4 of 5
4. Question
Do any of the patterns seem to work?
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Question 5 of 5
5. Question
Bonus: What is the largest possible value for the third term in the correct pattern? If you’re not sure, click “hint” below for a little help.
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Take a look at the third equation the Math Alliance sent you. Think about how many letters are in the alphabet.