Multiple choice

If the nth term of a sequence is 3n - 1, find its 100th term.

  1. 301

  2. 299

  3. 296

  4. 295
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B Correct answer
Explanation

The n-th term is 3n - 1. For n = 100, the term is 3(100) - 1 = 300 - 1 = 299.

AI explanation

Use the provided explicit formula for the arithmetic sequence, 3n - 1, to find the hundredth term by substituting n with 100. This calculation becomes 3 times 100 minus 1, which simplifies to 300 minus 1. The hundredth term of the sequence is 299.

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