Multiple choice

What is the 32nd term of the given sequence? 6, 9, 15, 24, ...

  1. 1494

  2. 1498

  3. 1502

  4. 1506
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A Correct answer
Explanation

The sequence is 6, 9, 15, 24. Differences are 3, 6, 9. This is a quadratic sequence. The n-th term is 1.5n^2 - 1.5n + 6. For n=32, 1.5(1024) - 1.5(32) + 6 = 1536 - 48 + 6 = 1494.

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