Multiple choice

Directions: Find the missing term in the given series. 95, 100, 117, 154, ___, 320

  1. 319

  2. 219

  3. 255

  4. 300

  5. 220
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B Correct answer
Explanation

Differences: 100-95=5, 117-100=17, 154-117=37. Second differences: 12, 20. Third difference is 8. Next second difference = 20+8=28. Next first difference = 37+28=65. 154+65=219.

AI explanation

The differences between the consecutive terms of the series follow the pattern of adding consecutive squares. We add 5 to 95 to get 100, add 17 to 100 to get 117, and add 37 to 117 to get 154, where 5 is 2 squared plus 1, 17 is 4 squared plus 1, and 37 is 6 squared plus 1. The next difference must be 8 squared plus 1, which is 65, so adding 65 to 154 gives the missing term 219.

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