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Number Series

Question

Hello, can you find the missing numbers in each one of the below series?

43, 8, 38, 9, 34, 11, ?, 14

2, 3, 5, 10, 18, 33, ?, 112

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These are my guesses:

Spoiler

First Sequence: 31

This is because I think there are two separate patterns in the sequence, with the even and odd terms. So, there is 43, 38, 34, ? and 8, 9, 11, 14. For the second sequence inside this one, you add 1, then 2, and then 3, to get the numbers in the sequence. For the first sequence now, you subtract 5, and then 4, so I guess the next time it will be by 3. This gets 34-3, which is 31.

Second sequence: 61

I thought 61, because I noticed the pattern that each term added by the last two gets the next term. For example, 0+2+3=5,  2+3+5=10,  3+5+10=18,  5+10+18=33. So, 10+18+33 equals 61. To check this, 18+33+61 equals 112, which is the last term in the sequence.

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On 10/31/2017 at 1:01 AM, Buddyboy3000 said:

These are my guesses:

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First Sequence: 31

This is because I think there are two separate patterns in the sequence, with the even and odd terms. So, there is 43, 38, 34, ? and 8, 9, 11, 14. For the second sequence inside this one, you add 1, then 2, and then 3, to get the numbers in the sequence. For the first sequence now, you subtract 5, and then 4, so I guess the next time it will be by 3. This gets 34-3, which is 31.

Second sequence: 61

I thought 61, because I noticed the pattern that each term added by the last two gets the next term. For example, 0+2+3=5,  2+3+5=10,  3+5+10=18,  5+10+18=33. So, 10+18+33 equals 61. To check this, 18+33+61 equals 112, which is the last term in the sequence.

Exactly, thanks for taking the time to check!

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