8, 12, 20, 32, 48, ?
Number Series Pattern Analysis
To find the next number in the series 8, 12, 20, 32, 48, we need to identify the pattern between consecutive terms.
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Calculate the difference between consecutive terms:
- $12 - 8 = 4$
- $20 - 12 = 8$
- $32 - 20 = 12$
- $48 - 32 = 16$
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Observe the pattern in these differences: The differences are 4, 8, 12, 16. This is an arithmetic sequence where each difference increases by 4.
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Determine the next difference in the sequence: Following the pattern, the next difference should be $16 + 4 = 20$.
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Calculate the next number in the original series: Add this next difference (20) to the last term of the series (48).
$48 + 20 = 68$
Therefore, the number that will come next in the series is 68.
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