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First, calculate the differences: 279−250=29 311−279=32 349−311=38 396−349=47 The differences are: 29,32,38,47. Now, let's look at the differences between these differences: 32−29=3 38−32=6 47−38=9 The second-order differences are 3,6,9, which are increasing by 3. If this pattern continues, the next difference should be: 9+3=12 Now, add this to the last difference: 47+12=59 Finally, add this to the last term in the series: 396+59 = 455
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