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3 votes
Type the next number in this sequence: 1, 3, 12, 28, 51, 81, 118,

User Geckob
by
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1 Answer

5 votes
To determine the next number in the sequence, let's look for a pattern or rule.

If we observe the differences between consecutive terms, we can see that the differences are not constant:

3 - 1 = 2
12 - 3 = 9
28 - 12 = 16
51 - 28 = 23
81 - 51 = 30
118 - 81 = 37

The differences between the consecutive terms increase by 7 each time.

Let's calculate the difference based on this pattern for the next term:

37 + 7 = 44

Now, to find the next number in the sequence, we add this difference to the last term:

118 + 44 = 162

Therefore, the next number in the sequence is 162.