Multiple choice

The next term of the sequence 0, 3, 14, 39 ..... is-

  1. 65

  2. 84

  3. 82

  4. 83
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Sequence: 0, 3, 14, 39. First differences: 3-0=3, 14-3=11, 39-14=25. Second differences: 11-3=8, 25-11=14. Third difference: 14-8=6 (constant). This is a cubic sequence: n³-n. For n=4: 4³-4=60, not in options. Alternative: differences follow 3, 11, 25 which are 2²-1, 3²+2, 5². Next could be 7²+6=55 (if pattern n²+(n-1)) or 45 (if odd numbers). 39+45=84 works.

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