Multiple choice

Direction: Find the next term in the series. 1, 3, 7, 15, 31, ....

  1. 63

  2. 62

  3. 59

  4. 60
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A Correct answer
Explanation

The series follows the pattern 2^n - 1. 2^1-1=1, 2^2-1=3, 2^3-1=7, 2^4-1=15, 2^5-1=31. The next term is 2^6-1 = 63.

AI explanation

The pattern in this series is generated by multiplying the previous term by 2 and then adding 1. Multiplying 1 by 2 and adding 1 gives 3, multiplying 3 by 2 and adding 1 gives 7, multiplying 7 by 2 and adding 1 gives 15, and multiplying 15 by 2 and adding 1 gives 31. Following this same rule, we multiply 31 by 2 to get 62, and adding 1 gives us the next term, 63.

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