Multiple choice

Find the missing term in the following series. 7, 18, 51, 106, 183, ?

  1. 209

  2. 234

  3. 282

  4. 326

  5. 348
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C Correct answer
Explanation

Differences: 18-7=11, 51-18=33, 106-51=55, 183-106=77. The differences are multiples of 11 (11, 33, 55, 77). The next difference should be 99. 183 + 99 = 282.

AI explanation

The differences between the consecutive terms increase by 14 at each step. The first difference is 18 minus 7, which equals 11; the second is 51 minus 18, which equals 33; and the third is 106 minus 51, which equals 55. The next differences follow as 77 and 99, so adding 99 to the last term of 183 gives the missing term. The result is 282.

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