Multiple choice

Directions: Find the missing term in the following number series. 164, 255, 366, 497, 648, ____

  1. 678

  2. 819

  3. 749

  4. 981
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B Correct answer
Explanation

The pattern is n^3 + something or a sequence of differences. 255-164=91, 366-255=111, 497-366=131, 648-497=151. The differences increase by 20. Next difference = 151 + 20 = 171. 648 + 171 = 819.

AI explanation

Analyze the differences between the consecutive terms. The difference between 164 and 255 is 91, between 255 and 366 is 111, between 366 and 497 is 131, and between 497 and 648 is 151. The differences form a pattern increasing by 20, so the next difference is 151 + 20 = 171. Adding 171 to 648 gives the next term, 819.

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