Multiple choice

What is the 29th term of the sequence 0, -3, -8, -15, -24,...?

  1. -840

  2. -841

  3. -842

  4. -843
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A Correct answer
Explanation

Sequence: 0, -3, -8, -15, -24. Differences: -3, -5, -7, -9. This is a quadratic sequence. General term n^2 - 1 is 0, 3, 8, 15, 24. So the sequence is 1 - n^2. For n=29, 1 - 29^2 = 1 - 841 = -840.

AI explanation

The pattern is defined by taking the negative of the quantity n squared minus one, giving the formula negative (n^2 minus 1) or 1 minus n^2. For the 29th term, calculate 1 minus 29 squared. Since 29 squared is 841, subtracting it from 1 gives negative 840.

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