What is the next number in this pattern?Rule: multiply by 3, then add 51, 8, 29, 92,
Question
What is the next number in this pattern?
Rule: multiply by 3, then add 51
Numbers: 8, 29, 92,
Solution
Sure, let's solve this step by step:
- The first number in the sequence is 8.
- According to the rule, we multiply the first number by 3 and then add 51 to get the next number. So, 8 * 3 + 51 = 75. But the next number in the sequence is 29, not 75. So, the rule seems to be incorrect.
- Let's try to find a pattern without using the rule. The difference between the second number (29) and the first number (8) is 21. The difference between the third number (92) and the second number (29) is 63.
- If we look closely, we can see that 21 is 3 times 7 and 63 is 9 times 7. So, it seems like the pattern is to add multiples of 7 to the previous number.
- If we continue this pattern, the next multiple of 7 would be 11 times 7, which is 77.
- So, the next number in the sequence would be 92 + 77 = 169.
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