Multiple choice

Calculate the fifth term of the sequence $a_n=2(n-1)^2-3$.

  1. $19$
  2. $29$
  3. $39$
  4. $49$
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B Correct answer
Explanation

The fifth term (n=5) is 2 * (5-1)^2 - 3 = 2 * 4^2 - 3 = 2 * 16 - 3 = 32 - 3 = 29.

AI explanation

To find the fifth term of the sequence, substitute n = 5 into the given explicit formula. The calculation is 2(5 - 1)^2 - 3, which simplifies to 2(16) - 3. This equals 32 - 3, resulting in a fifth term of 29.

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