Multiple choice

Find the missing number in the series $2, 10, 26, ..., 242$

  1. $80$
  2. $81$
  3. $82$
  4. $84$
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C Correct answer
AI explanation

We express each term of the series by relating it to consecutive powers of 3. The sequence follows the pattern of 3 to the power of 0 plus 1, 3 to the power of 2 plus 1, and 3 to the power of 3 plus 1. Following this pattern, the missing term is 3 to the power of 4 plus 1, which is 81 plus 1, giving the result 82.

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